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Lời giải:
a. $(x+y)-(x-y)=x+y-x+y=(x-x)+y+y=0+2y=2y$
b. $3x(5x^2-2x-1)-15x^3=15x^3-6x^2-3x-15x^3=-6x^2-3x$
c. $(5x-2y)(x^2-xy+1)+7x^2y=5x^3-5x^2y+5x-2x^2y+2xy^2-2y+7x^2y$
$=5x^3+(-5x^3y-2x^2y+7x^2y)+5x+2xy^2-2y$
$=5x^3+5x+2xy^2-2y$
a: Ta có: \(\left(8x^3-4x^2\right):4x-\left(4x^2-5x\right):2x+\left(2x\right)^2\)
\(=2x^2-x-2x+\dfrac{5}{2}+4x^2\)
\(=6x^2-3x+\dfrac{5}{2}\)
b: Ta có: \(\left(3x^3-x^2y\right):x^2-\left(xy^2+x^2y\right):xy+2x\left(x-1\right)\)
\(=3x-y-y-x+2x^2-2x\)
\(=2x^2-2y\)
Bài 1:
\(a,6x^2-15x^3y\\ b,=-\dfrac{2}{3}x^2y^3+\dfrac{2}{3}x^4y-\dfrac{8}{3}xy\)
Bài 2:
\(a,=20x^3-10x^2+5x-20x^3+10x^2+4x=9x\\ b,=3x^2-6x-5x+5x^2-8x^2+24=24-11x\\ c,=x^5+x^3-2x^3-2x=x^5-x^3-2x\)
a: \(=25x^4-10x^3+5x^2\)
c: \(=2x^3-3x-5x^3-x^2+x^2=-3x^3-3x\)
x(2 x 2 – 3) – x 2 (5x + 1) + x 2
= x. 2 x 2 + x.(- 3) – ( x 2 . 5x + x 2 .1) + x 2
= (2 x 3 – 3x) – (5 x 3 + x 2 ) + x 2
= 2 x 3 – 3x – 5 x 3 – x 2 + x 2
= -3x – 3 x 3
3x(x – 2) – 5x(1 – x) – 8( x 2 – 3)
= 3x.x + 3x .( -2) – [5x.1 + 5x. (- x)] – [8 x 2 + 8.(- 3)]
= (3 x 2 – 6x) – (5x – 5 x 2 ) – (8 x 2 – 24)
= 3 x 2 – 6x – 5x + 5 x 2 – 8 x 2 + 24
= ( 3 x 2 +5 x 2 – 8 x 2 )- ( 6x + 5x) + 24
= - 11x + 24
a) Ta có: \(\left(x+2y\right)\left(x^2-2xy+4y^2\right)-\left(x-y\right)\left(x^2+xy+y^2\right)\)
\(=x^3+\left(2y\right)^3-\left(x^3-y^3\right)\)
\(=x^3+8y^3-x^3+y^3\)
\(=9y^3\)
b) Ta có: \(\left(x+1\right)\left(x-1\right)^2-\left(x+2\right)\left(x^2-2x+4\right)\)
\(=\left(x+1\right)\left(x^2-2x+1\right)-\left(x+2\right)\left(x^2-2x+4\right)\)
\(=x^3-2x^2+x+x^2-2x+1-\left(x^3+8\right)\)
\(=x^3-x^2-x+1-x^3-8\)
\(=-x^2-x-7\)
a. x(2x2 – 3) – x2(5x + 1) + x2
= 2x3 – 3x – 5x3 – x2 + x2 = -3x – 3x3
b. 3x(x – 2) – 5x(1 – x) – 8(x2 – 3)
= 3x2 – 6x – 5x + 5x2 – 8x2 + 24
= - 11x + 24
c. 1/2 x2(6x – 3) – x( x2 + 1/2 (x + 4)
= 3x3 - 3/2 x2 – x3 - 1/2 x + 1/2 x + 2
= 2x3 - 3/2 x2 + 2
a, x(2x2-3)-x2(5x+1)x2
=2x3-3x-5x3- x2+x2=-3x-3x3
học tốt nhé!!