a) x^2 + y^2 -25 +2xy
b) a ^2- 2a -4b^2-4b
c)a^2-b^2-5a-5b
phan tich da thuc thanh nhan tu
phan tich da thuc thanh nhan tu
a) 2a(x+y)+y+x
b) 2(x-y)^2-x+y
c) x^2-xy-3x+3y
d) ax^2+6x^2-6x-ax+a+b
2) phan tich da thuc thanh nhan ( nhieu phuong phap)
a) 5a^2+20a+20 c) 25-x^2+2xy-y^2
b) 5a^2-10ab+5b^2 d) m^2+2mn+n^2-p^2
phan tích da thức thanh nhan tu
a) 2a(x+y)+y+x
b) 2(x-y)^2-x+y
c) x^2-xy-3x+3y
d) ax^2+6x^2-6x-ax+a+b
2) phan tich da thuc thanh nhan tu ( nhieu phuong phap)
a) 5a^2+20a+20 c) 25-x^2+2xy-y^2
b) 5a^2-10ab+5b^2 d) m^2+2mn+n^2-p^2
a) 2a(x+y)+y+x = 2a(x+y)+(x+y)
= (2a+1)(x+y)
b) 2(x-y)^2-x+y = \(2\left(x-y\right)^2-\left(x-y\right)=\left(2x-2y-1\right)\left(x-y\right)\)
Phan tich da thuc thanh nhan tu:
2a+6b+15c
4m^2n-8m^2n-12n
a^4-b^4
16b^4-9c^2
5a(x+y)+x+y
b: \(4m^2n-8m^2n-12n\)
\(=-4m^2n-12n\)
\(=-4n\left(m^2+3\right)\)
c: \(a^4-b^4=\left(a^2-b^2\right)\left(a^2+b^2\right)=\left(a^2+b^2\right)\left(a-b\right)\left(a+b\right)\)
d: \(16b^4-9c^2\)
\(=\left(4b^2-3c\right)\left(4b^2+3c\right)\)
e: \(5a\left(x+y\right)+x+y=\left(x+y\right)\left(5a+1\right)\)
phan tich da thuc sau thanh nhan tu ab(x^2+y^2)-xy(a^2+b^2)
\(ab\left(x^2+y^2\right)-xy\left(a^2+b^2\right)\)
\(=abx^2+aby^2-a^2xy-b^2xy\)
\(=ax\left(bx-ay\right)+by\left(ay-bx\right)\)
\(=ax\left(bx-ay\right)-by\left(bx-ay\right)\)
\(\left(bx-ay\right)\left(ax-by\right)\)
hãy k nếu bạn thấy đây là câu tl đúng :)
1 phan tich da thuc thanh nhan tu
a) 4x^2 - 49
b) a^2 -2a -b^2 -2b
a/ \(4x^2-49=\left(2x\right)^2-7^2=\left(2x-7\right)\left(2x+7\right)\)
b/ \(a^2-2a-b^2-2b=\left(a^2-2a+1\right)-\left(b^2+2b+1\right)=\left(a-1\right)^2-\left(b+1\right)^2\)
\(=\left(a-1-b-1\right)\left(a-1+b+1\right)=\left(a-b-2\right)\left(a+b\right)\)
phan tich da thuc thanh nhan tu
a: 4x^2-20xy +25-[3x-2]^2
b: x^2-6x+5+[x-5]^2
\(x^2-6x+5+\left(x-5\right)^2\)
\(=x^2-6x+5+x^2-10x+25\)
\(=2x^2-6x-10x+30\)
\(=x.\left(2x-6\right)-5.\left(2x-6\right)\)
\(=\left(x-5\right).\left(2x-6\right)\)
phan tich da thuc sau thanh nhan tu bang nhom hang tu x\(^2\) -(a+b).x+ab
ax-2x-a\(^2\) +2a
x\(^2\)-(a+b)x+ab
= x\(^2\)-ax-bx+ab
= x(x-a) - b(x-a)
= ( x-a).( x-b)
ax-2x-a\(^2\)+2a
= x(a-2) - a(a-2)
= (a-2).( x-a)
phan tich da thuc thanh nhan tu: a,x^2-y^2-x+3y-2 b,x^3+y^3+6xy+x+y-10
Câu a:
\(x^2-y^2-x+3y-2=\left(x^2-2.x.\frac{1}{2}+\frac{1}{4}\right)-\left(y^2-2.y.\frac{3}{2}+\frac{9}{4}\right)\)
\(< =>\left(x-\frac{1}{2}\right)^2-\left(y-\frac{3}{2}\right)^2\)
\(< =>\left(x-\frac{1}{2}+y-\frac{3}{2}\right)\left(x-\frac{1}{2}-y+\frac{3}{2}\right)=\left(x+y-2\right)\left(x-y+1\right)\)
phan tich da thuc thanh nhan tu
a) 7xy^2+5x^2y
b) x^2+2xy+y^2-11x-11y
a) 7xy^2+5x^2y
= xy(7y+5x)
b) x^2+2xy+y^2-11x-11y
= (x^2+2xy+y^2)-(11x+11y)
=(x+y)^2-11(x+y)
=(x+y)(x+y-11)
a) 7xy2 + 5x2y
= xy ( 7y + 5x )
b) x2 + 2xy + y2 - 11x - 11y
= ( x2 + 2xy + y2 ) - ( 11x + 11y )
= ( x + y )2 - 11 ( x + y )
= ( x + y )( x + y - 11 )