tính
a) ( 2x - 3y ) ( 4x2 + 6xy + 9y2 )
b) ( 1/2 x - 1/3 ) ( 1/4x2 + 1/6x + 1/9 )
1) Thực hiện phép tính
a) (2x – 1)2 – 4 (x – 1)(x + 1) – (x – 2)(x + 3)
b) (2x + 3)(4x2 – 6x + 9) – 8x(x – 3)(x + 3)
\(a,=4x^2-4x+1-4x^2+4-x^2-x+6=-x^2-5x+11\\ b,=8x^3+27-8x^3+72x=72x+27\)
a) \(=4x^2-4x+1-4\left(x^2-1\right)-\left(x^2-2x+3x-6\right)=4x^2-4x+1-4x^2+4-x^2-x+6=-x^2-5x+11\)
b) \(=8x^3+27-8x\left(x^2-9\right)=8x^3+27-8x^3+72x=72x+27\)
Áp dụng hằng đẳng thức đáng nhớ để thực hiện phép chia
a, (4x2 + 4xy + y2 ) : (2x+y)
b, (27x3+1) : (3x+1)
c, (x2 - 6xy + 9y2) : ( 3y-x)
d, (8x3-1) : (4x2+2x+1)
a ) \(\left(4x^2+4xy+y^2\right):\left(2x+y\right)\)
\(=\left(2x+y\right)^2:\left(2x+y\right)\)
\(=2x+y\)
b ) \(\left(27x^3+1\right):\left(3x+1\right)\)
\(=\left(3x+1\right)\left(9x^2-3x+1\right):\left(3x+1\right)\)
\(=9x^2-3x+1\)
c ) \(\left(x^2-6xy+9y^2\right):\left(3y-x\right)\)
\(=\left(x-3y\right)^2:\left(3y-x\right)\)
\(=\left(3y-x\right)^2:\left(3y-x\right)\)
\(=3y-x\)
d ) \(\left(8x^3-1\right):\left(4x^2+2x+1\right)\)
\(=\left(2x-1\right)\left(4x^2+2x+1\right):\left(4x^2+2x+1\right)\)
\(=2x-1\)
:D
Thực hiện phép tính :
a) (4x2-5x2-3-3x2+9x) : (x2-3)
b) (4x2+4xy+y2) : (2x+y)
c) (x2-6xy+9y2) : (3y-x)
b) \(\left(4x^2+4xy+y^2\right):\left(2x+y\right)=\dfrac{\left(2x+y\right)^2}{2x+y}=2x+y\)
c) \(\left(x^2-6xy+9y^2\right):\left(3y-x\right)=\dfrac{\left(3y-x\right)^2}{3y-x}=3y-x\)
Bài 1: Rút gọn các biểu thức:
a. (2x - 1)2 - 2(2x - 3)2 + 4
b. (3x + 2)2 + 2(2 + 3x)(1 - 2y) + (2y - 1)2
c. (x2 + 2xy)2 + 2(x2 + 2xy)y2 + y4
d. (x - 1)3 + 3x(x - 1)2 + 3x2(x -1) + x3
e. (2x + 3y)(4x2 - 6xy + 9y2)
f. (x - y)(x2 + xy + y2) - (x + y)(x2 - xy + y2)
g. (x2 - 2y)(x4 + 2x2y + 4y2) - x3(x – y)(x2 + xy + y2) + 8y3
a: \(\left(2x-1\right)^2-2\left(2x-3\right)^2+4\)
\(=4x^2-4x+1+4-2\left(4x^2-12x+9\right)\)
\(=4x^2-4x+5-8x^2+24x-18\)
\(=-4x^2+20x-13\)
e: \(\left(2x+3y\right)\left(4x^2-6xy+9y^2\right)=8x^3+27y^3\)
Bài 1: Rút gọn các biểu thức:
a. (2x - 1)2 - 2 (2x - 3)2 + 4
b. (3x + 2)2 + 2 (2 + 3x) (1 - 2y) + (2y - 1)2
c. (x2 + 2xy)2 + 2 (x2 + 2xy) y2 + y4
d. (x - 1)3 + 3x (x - 1)2 + 3x2 (x -1) + x3
e. (2x + 3y) (4x2 - 6xy + 9y2)
f. (x - y) (x2 + xy + y2) - (x + y) (x2 - xy + y2)
g. (x2 - 2y) (x4 + 2x2y + 4y2) - x3 (x – y) (x2 + xy + y2) + 8y3
a: Ta có: \(\left(2x-1\right)^2-2\left(2x-3\right)^2+4\)
\(=4x^2-4x+1-2\left(4x^2-12x+9\right)+4\)
\(=4x^2-4x+5-8x^2+24x-18\)
\(=-4x^2+20x-13\)
b: \(\left(3x+2\right)^2+2\left(3x+2\right)\left(1-2y\right)+\left(1-2y\right)^2\)
\(=\left(3x+2+1-2y\right)^2\)
\(=\left(3x-2y+3\right)^2\)
tìm x;y
a) 4x2+13y+12xy−18y−4x+104x2+13y+12xy−18y−4x+10
b) 4x2+12xy+9y2+4y2−18y−4x+104x2+12xy+9y2+4y2−18y−4x+10
c) (2x+3y)2−2(2x+3y)+1+4y2−12y+9(2x+3y)2−2(2x+3y)+1+4y2−12y+9
d) (2x+3y−1)+(2y−3)2=0
Bài 2: Rút gọn biểu thức
A=(x-2)(x2+2x+4)-(128+x3)
B=(2x+3y)(4x2-6xy+9y2)-(3x-2y)(9x2+6xy+4y2)
\(A=x^3-8-128-x^3=-136\\ B=8x^3+27y^3-27x^3+8y^3=-19x^3+35y^3\)
\(A=\left(x-2\right)\left(x^2+2x+4\right)-\left(128+x^3\right)=x^3-8-128-x^3=-136\)
\(B=\left(2x+3y\right)\left(4x^2-6xy+9y^2\right)-\left(3x-2y\right)\left(9x^2+6xy+4y^2\right)=8x^3+27y^3-27x^3+8y^3=-19x^3+35y^3\)
\(A=x^3+2x^2+4x-2x^2-4x-8-128-x^3\)
\(A=-136\)
\(B=\left(2x+3y\right)\left(2x-3y\right)^2-\left(3x-2y\right)\left(3x+2y\right)^2\)
\(B=\left(2x+3y\right)\left(2x-3y\right)\left(2x-3y\right)-\left(3x-2y\right)\left(3x+2y\right)\left(3x+2y\right)\)
\(B=\left(4x^2-9y^2\right)\left(2x-3y\right)-\left(9x^2-4y^2\right)\left(3x+2y\right)\)
\(B=8x^3-12x^2y-18xy^2-27y^3-27x^3-18x^2y+12xy^2+8y^3\)
\(B=-19x^3-30x^2y-6xy^2-19y^3\)
\(B=-19\left(x^3-y^3\right)-6xy\left(5x+y\right)\)
tính:
a,(x+1)*(x^2-x+1)..
b,:(0.1x+y^2)*(0.01x^2-0.1xy^2+y^4)..
c, (2x+3y)*(4x^2-6xy+9y2)..
d,(3-2x)*(9+6x+4x^2).
e,(1/2x-1/3y)*(1/4x^2+1/6xy+1/9y^2
bài 2: viết cá đa thức sau dưới dạng hằng đẳng thức đáng nhớ sau :
a,x2+2x+1=
b,y2+4y+4=
c,9-6x+x2=
d,a2-14a+49=
e,m2-4m+4=
f,4x2-4x+1=
g,a2+10a+25=
h,100-20z+z2=
i,x2+6xy+9y2=
j,4x2-12xz+25b2=
k,a2+10ab+25b2=
l,x4+2x2+1=
m,y6-2y3+1=
n,c10-10c5+25=
o,9x4+12x2y+4y2=
p,25m4n6-10m2n3=
em đang cần gấp ,giúp em với
\(a,=\left(x+1\right)^2\\ b,=\left(y-2\right)^2\\ c,=\left(x-3\right)^2\\ d,=\left(a-7\right)^2\\ e,=\left(m-2\right)^2\\ f,=\left(2x-1\right)^2\\ g,=\left(a+5\right)^2\\ h,=\left(z-10^2\right)\\ i,=\left(x+3y\right)^2\\ j,=\left(2x-5b\right)^2\\ k,=\left(a+5\right)^2\\ l,=\left(x^2+1\right)^2\\ m,=\left(y^3-1\right)^2=\left(y-1\right)^2\left(y^2+y+1\right)^2\\ n,=\left(c^5-5\right)^2\\ o,=\left(3x^2+2y\right)^2\\ p,=5m^2n^3\left(5m^2n^3-2\right)\)
câu 1:tính
a) 4x2-9y2 b) ( 3x+y)3
câu 2 phân tích đa thức thành nhân tử
b) 4x2-12x+9
câu 3:tìm x,biết:6x3+16x2-150x-400=0
câu 4:phân tích đa thức thành nhân tử:D=(x+1)(x+3)(x+5)(x+7)+15