Phân tích thành nhân tử:
a) (2a + 3)x – (2a + 3)y + (2a + 3)
b) (a – b)x + (b - a)y – a + b
c) (4x – y)(a + b) + (4x – y)(c – 1)
d) (a + b – c)x2– (c – a – b)x
giup e voi a
e dang cna gap
Bài 1: Phân tích các đa thức sau thành nhân tử
a) ( 2a + 3 ) . ( 2a + 3 ) . y + ( 2a + 3)
b) ( a - b ) . x + ( b-a ) . y - ( a + b )
c) ( 4x - y ) . ( a + b ) + ( 4x - y ) . ) c - 1 )
d) ( 4 + b - c ) . x2 - ( c - a - b ) . x
Làm hộ tui nha .Tui đang cần gấp
\(\left(2a+3\right)\left(2a+3\right)y+\left(2a+3\right)\)
\(=\left(2a+3\right)[y\left(2a+3\right)+1]\)
\(=\left(2a+3\right)\left(2ay+3y+1\right)\)
\(\left(a-b\right)x+\left(b-a\right)y-\left(a-b\right)\) (Sửa đề)
\(=\left(a-b\right)x-\left(a-b\right)y-\left(a-b\right)\)
\(=\left(a-b\right)\left(x-y-1\right)\)
\(\left(4x-y\right)\left(a+b\right)+\left(4x-y\right)\left(c-1\right)\)
\(=\left(4x-y\right)[\left(a+b\right)+\left(c-1\right)]\)
\(=\left(4x-y\right)\left(a+b+c-1\right)\)
Giúp mình với ạ...Cảm ơn ạ...
1)phân tích thành nhân tử:
a) (2a+3)x-(2a+3)y+(2a+3) b) (a-b)x+(b-a)y-a+b
c) (4x-y) (a+b)+(4x-y)(c-1) d) (a+b-c)x^2-(c-a-b)x
2)tìm các cặp số (x,y) thỏa mẫn điều kiện sau: x(y+1)-y=1
giải giúp mình câu 2 với ạ...câu 1 mk đã làm rồi ạ
Bài 1: Phân tích các đa thức sau thành nhân tử
a) ( 2a + 3 ) . ( 2a + 3 ) . y + ( 2a + 3)
b) ( a - b ) . x + ( b-a ) . y - ( a + b )
c) ( 4x - y ) . ( a + b ) + ( 4x - y ) . ) c - 1 )
d) ( 4 + b - c ) . x2 - ( c - a - b ) . x
Làm hộ tui nha .Tui đang cần gấp
phân tích đa thức thành nhân tử
a)(2a+3)*x-(2a+3)*y+(2a+3)
b)(4x-y)*(a-1)-(y-4x)*(b-1)+(4x-y)*(1-c)
c)x^k+1-x^k-1(k thuộc N,k>1)
d)x^m+3-x^m+1(m thuộc N)
e)3*(x-y)^3-2*(x-y)^2
f)81a^2+18a+1
g)25a^2*b^2-16c^2
h)(a-b)^2-2*(a-b)*c+c^2
i)(ax+by)^2-(ax-by)^2
\(a,\left(2a+3\right)x-\left(2a+3\right)y+\left(2a+3\right)\)
\(=\left(2a+3\right)\left(x-y+1\right)\)
\(b,\left(4x-y\right)\left(a-1\right)-\left(y-4x\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1\right)+\left(4x-y\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1+b-1+1-c\right)\)
\(=\left(4x-y\right)\left(a+b-c-1\right)\)
\(c,x^k+1-x^k-1\)
\(=0?!?!\)
\(d,x^m+3-x^m+1\)
\(=4\)
\(e,3\left(x-y\right)^3-2\left(x-y\right)^2\)
\(=\left(x-y\right)^2\left(3\left(x-y\right)-2\right)\)
\(=\left(x-y\right)^2\left(3x-3y-2\right)\)
\(f,81a^2+18a+1\)
\(=\left(9a\right)^2+2.9a+1\)
\(=\left(9a+1\right)^2\)
\(g,25a^2.b^2-16c^2\)
\(=\left(5ab\right)^2-\left(4c\right)^2\)
\(=\left(5ab+4c\right)\left(5ab-4c\right)\)
\(h,\left(a-b\right)^2-2\left(a-b\right)c+c^2\)
\(=\left(a-b-c\right)^2\)
\(i,\left(ax+by\right)^2-\left(ax-by\right)^2\)
\(=\left(ax+by-ax+by\right)\left(ax+by+ax-by\right)\)
\(=2by.2ax\)
\(=4axby\)
\(\text{a) }\left(2a+3\right)x-\left(2a+3\right)y+\left(2a+3\right)\)
\(=\left(2a+3\right)\left(x-y+1\right)\)
\(\text{b) }\left(4x-y\right)\left(a-1\right)-\left(y-4x\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1\right)+\left(4x-y\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1+b-1+1-c\right)\)
\(=\left(4x-y\right)\left(a+b-c-1\right)\)
\(\text{c) }x^k+1-x^k-1\)
\(=\left(x^k-x^k\right)+\left(1-1\right)\)
\(=0\)
\(\text{d) }x^m+3-x^m+1\)
\(=\left(x^m-x^m\right)+\left(3+1\right)\)
\(=4\)
\(\text{e) }3\left(x-y\right)^3-2\left(x-y\right)^2\)
\(=\left(x-y\right)^2\left[3\left(x-y\right)-2\right]\)
\(=\left(x-y\right)^2\left(3x-3y-2\right)\)
\(\text{f) }81a^2+18a+1\)
\(=\left(9a\right)^2+2.9a.1+1^2\)
\(=\left(9a+1\right)^2\)
\(\text{g) }25a^2b^2-16c^2\)
\(=\left(5ab\right)^2-\left(4c\right)^2\)
\(=\left(5ab+4c\right)\left(5ab-4c\right)\)
\(\text{h) }\left(a-b\right)^2-2.\left(a-b\right).c+c^2\)
\(=\left(a-b-c\right)^2\)
\(\text{i) }\left(ax+by\right)^2-\left(ax-by\right)^2\)
\(=\left(ax+by+ax-by\right)\left(ax+by-ax+by\right)\)
\(=2by.2ax\)
\(=4byax\)
Bài 1: Phân tích các đa thức sau thành nhân tử
a) ( 2a + 3 ) . ( 2a + 3 ) . y + ( 2a + 3)
b) ( a - b ) . x + ( b-a ) . y - ( a + b )
c) ( 4x - y ) . ( a + b ) + ( 4x - y ) . ) c - 1 )
d) ( 4 + b - c ) . x2 - ( c - a - b ) . x
Làm hộ tui nha .Tui đang cần gấp
Phân tích đa thức thành nhân tử:
a) x^4 +2x^2y+y^2
b) (2a+b)^2 - (2b+a)^2
c) (8a^3 -27a^3) - 2a (4a^2-9b^2)
d) (a^3-b^3)+ ( a-b)^2
e) ( x^2 + 1 )^2 - 4x^2
f)(y^3+8) + (y^2-4)
HELP ME!
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câu nào mình biết mình trl trc nha:
\(\left(x^2+1\right)^2-4x^2\)
\(=x^4+2x^2+1-4x^2\)
\(=x^4-2x^2+1\)
\(\left(x^2-1\right)^2\)
a) \(x^4+2x^2y+y^2\)
\(=\left(x^2+y\right)^2\)
b) \(\left(2a+b\right)^2-\left(2b+a\right)^2\)
\(=\left(2a+b-2b-a\right)\left(2a+b+2b+a\right)\)
Phân tích các đa thức sau thành nhân tử:
a) \({x^3} + 4x\)
b) \(6ab - 9a{b^2}\)
c) \(2a\left( {x - 1} \right) + 3b\left( {1 - x} \right)\)
d) \({\left( {x - y} \right)^2} - x\left( {y - x} \right)\)
`a, x^3 + 4x = x(x^2+4)`
`b, 6ab - 9ab^2 = 3ab(2-b)`
`c, 2a(x-1) + 3b(1-x)`
`= (2a-3b)(x-1)`
`d, (x-y)^2 - x(y-x)`
`= (x-y+x)(x-y)`
`= (2x-y)(x-y)`
phân tích thành nhân tử a)a^2-b^2-4ab+4 b)4x^2y^2-(x^2+y^2)^2 c) x^2+2x-3 d) 2a^3-54b^3
b)4x^2y^2-(x^2+y^2)^2
=(2xy)2-(x2+y2)2
=[2xy-(x2+y2)][2xy+(x2+y2)]
=(2xy-x2-y2)(2xy+x2+y2)
=-(-2xy+x2+y2)(x+y)2
=-(x-y)2(x+y)2
c) x^2+2x-3
=x2-x+3x-3
=x(x-1)+3(x-1)
=(x-1)(x+3)
d) 2a^3-54b^3
=2(a3-27b3)
=2[a3-(3b)3]
=2(a-3b)(a2+3ab+9b2)
Phân tích các đa thức sau thành nhân tử:
a) x2 - 9 - x2 (x2 - 9) d) x2 + 5x + 6 h) a2 + b2 + 2a – 2b – 2ab
b) x2(x-y) + y2(y-x) e) 3x2 – 4x – 4 i) (x + 1)2 – 2(x + 1)(y – 3) + (y – 3)2
c) x3+27+(x+3)(x-9) g) x4 + 64y4 k) x2(x + 1) – 2x(x + 1) + x + 1
Mình đang cần gấp ạ
a: \(x^2-9-x^2\left(x^2-9\right)\)
\(=\left(x^2-9\right)-x^2\left(x^2-9\right)\)
\(=\left(x^2-9\right)\left(1-x^2\right)\)
\(=\left(1-x\right)\left(1+x\right)\left(x-3\right)\left(x+3\right)\)
b: \(x^2\left(x-y\right)+y^2\left(y-x\right)\)
\(=x^2\left(x-y\right)-y^2\left(x-y\right)\)
\(=\left(x-y\right)\left(x^2-y^2\right)\)
\(=\left(x-y\right)\left(x-y\right)\left(x+y\right)=\left(x-y\right)^2\cdot\left(x+y\right)\)
c: \(x^3+27+\left(x+3\right)\left(x-9\right)\)
\(=\left(x+3\right)\left(x^2-3x+9\right)+\left(x+3\right)\left(x-9\right)\)
\(=\left(x+3\right)\left(x^2-3x+9+x-9\right)\)
\(=\left(x+3\right)\left(x^2-2x\right)=x\left(x-2\right)\left(x+3\right)\)
d: \(x^2+5x+6\)
\(=x^2+2x+3x+6\)
\(=x\left(x+2\right)+3\left(x+2\right)=\left(x+2\right)\left(x+3\right)\)
e: \(3x^2-4x-4\)
\(=3x^2-6x+2x-4\)
\(=3x\left(x-2\right)+2\left(x-2\right)\)
\(=\left(x-2\right)\left(3x+2\right)\)
g: \(x^4+64y^4\)
\(=x^4+16x^2y^2+64y^4-16x^2y^2\)
\(=\left(x^2+8y^2\right)^2-\left(4xy\right)^2\)
\(=\left(x^2+8y^2-4xy\right)\left(x^2+8y^2+4xy\right)\)
h: \(a^2+b^2+2a-2b-2ab\)
\(=a^2-2ab+b^2+2a-2b\)
\(=\left(a-b\right)^2+2\left(a-b\right)=\left(a-b\right)\left(a-b+2\right)\)
i: \(\left(x+1\right)^2-2\left(x+1\right)\left(y-3\right)+\left(y-3\right)^2\)
\(=\left(x+1-y+3\right)^2\)
\(=\left(x-y+4\right)^2\)
k: \(x^2\left(x+1\right)-2x\left(x+1\right)+\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2-2x+1\right)\)
\(=\left(x+1\right)\left(x-1\right)^2\)