P   =   ( - 4 x 3 y 3   +   x 3 y 4 )   :   2 x y 2   –   x y ( 2 x   –   x y )   ⇔   P   =   ( - 4 x 3 y 3 )   :   2 x y 2   +   x 3 y 4   :   2 x y 2   –   x y . 2 x   +   x y . x y     ⇔   P   =   - 2 x 2 y   +   x 2 y 2   –   2 x 2 y   +   x 2 y 2     ⇔   P   =   x 2 y 2   –   4 x 2 y     ⇔   P   =   x 2 y (   y   –   4 )

Tại x = 1, y = , ta có:

P = 1 2 .( − 1 2 ) ( 3 2 ( − 1 2 ) − 4 ) = ( − 1 2 ) ( − 3 4 − 4 ) = ( − 1 2 ) ( − 19 4 ) =   19 8

Đáp án cần chọn là: B

a: \(=2x^3-14x^2-6x\)

c: \(=-10x^5-15x^4+25x^3\)

a) 2x. (x2 – 7x -3)

= 2x³- 14x²- 6x

b) ( -2x3 + y2 -7xy). 4xy2 

= -8x⁴y²+ 4xy⁴- 28x²y³

c)(-5x3).(2x2+3x-5)

= -10x⁵-15x⁴+25x³

d) (2x2 - xy+ y2).(-3x3)

=-6x⁵+ 3x⁴y -3x³y²

e)(x2 -2x+3). (x-4) 

=x³-2x²+3x -4x²+8x-12

=x³-6x²+11x-12

f) ( 2x3 -3x -1). (5x+2)

=10x⁴-15x²-5x +4x³-6x-2

=10x⁴+4x³-15x²-11x-2

a)=(x^2-x-6)-(x^2-x-5)

=x^2-x-6-x^2+x+5

=-1

b)đề bài kì cục

6: \(-x^2y\left(xy^2-\dfrac{1}{2}xy+\dfrac{3}{4}x^2y^2\right)\)

\(=-x^3y^3+\dfrac{1}{2}x^3y^2-\dfrac{3}{4}x^4y^3\)

7: \(\dfrac{2}{3}x^2y\cdot\left(3xy-x^2+y\right)\)

\(=2x^3y^2-\dfrac{2}{3}x^4y+\dfrac{2}{3}x^2y^2\)

8: \(-\dfrac{1}{2}xy\left(4x^3-5xy+2x\right)\)

\(=-2x^4y+\dfrac{5}{2}x^2y^2-x^2y\)

9: \(2x^2\left(x^2+3x+\dfrac{1}{2}\right)=2x^4+6x^3+x^2\)

10: \(-\dfrac{3}{2}x^4y^2\left(6x^4-\dfrac{10}{9}x^2y^3-y^5\right)\)

\(=-9x^8y^2+\dfrac{5}{3}x^6y^5+\dfrac{3}{2}x^4y^7\)

11: \(\dfrac{2}{3}x^3\left(x+x^2-\dfrac{3}{4}x^5\right)=\dfrac{2}{3}x^3+\dfrac{2}{3}x^5-\dfrac{1}{2}x^8\)

12: \(2xy^2\left(xy+3x^2y-\dfrac{2}{3}xy^3\right)=2x^2y^3+6x^3y^3-\dfrac{4}{3}x^2y^5\)

13: \(3x\left(2x^3-\dfrac{1}{3}x^2-4x\right)=6x^4-x^3-12x^2\)

a) \(2x\left(x^2-7x-3\right)=2x.x^2-2x.7x-2x.3=2x^3-14x^2-6x\)

b) \(\left(-2x^3+y^2-7xy\right)4xy^2=\left(-2x^3\right)4xy^2+y^24xy^2-7xy.4xy^2=-8x^4y^2+4xy^4-28x^2y^3\)

c) \(\left(-5x^3\right)\left(2x^2+3x-5\right)=-5x^32x^2-5x^33x-5x^3.-5=-10x^5-15x^4+25x^3\)

d) \(\left(2x^2-xy+y^2\right)\left(-3x^3\right)=-3x^32x^2-3x^3.-xy-3x^3y^2=-6x^5+3x^4y-3x^3y^2\)

e) \(\left(x^2-2x+3\right)\left(x-4\right)=x\left(x^2-2x+3\right)-4\left(x^2-2x+3\right)=x^3-2x^2+3x-4x^2+8x-12=x^3-6x^2+11x-12\)

f) \(\left(2x^3-3x-1\right)\left(5x+2\right)=5x\left(2x^3-3x-1\right)+2\left(2x^3-3x-1\right)=10x^4-15x^2-5x+4x^3-6x-2=10x^4+4x^3-15x^2-11x-2\)

g)

\(\left(25x^2+10xy+4y^2\right).\left((5x-2y\right)\)

\(=125x^3-50x^2y+20x^2y-20xy^2+20xy^2-8y^3\)

\(=125x^3-30x^2y+8y^3\)

h)

\(\left(5x^3-x^2+2x-3\right)\left(4x^2-x+2\right)\)

\(=20x^5-5x^4+10x^3-4x^4+x^3-2x^2+8x^3-2x^2+4x-12x^2+3x-6\)

\(=20x^5-9x^4+19x^3-16x^2+7x-6\)

Bạn chú ý đăng lẻ câu hỏi! 1/

a/ \(=x^3-2x^5\)

b/\(=5x^2+5-x^3-x\)

c/ \(=x^3+3x^2-4x-2x^2-6x+8=x^3=x^2-10x+8\)

d/ \(=x^2-x^3+4x-2x+2x^2-8=3x^2-x^3+2x-8\)

e/ \(=x^4-x^2+2x^3-2x\)

f/ \(=\left(6x^2+x-2\right)\left(3-x\right)=17x^2+5x-6-6x^3\)

mk cần gấp lắm nhanh hộ mk nhé!

a) \(2x\left(x^2-7x-3\right)=2x^3-14x^2-6x\)

b) \(\left(-2x^3+y^2-7xy\right)\cdot4xy^2=-8x^4y^2+4xy^4-28x^2y^3\)

c) \(\left(-5x^3\right)\left(2x^2+3x-5\right)=-10x^5-15x^4+25x^3\)

d) \(\left(2x^2-xy+y^2\right)\left(-3x^3\right)=-6x^5+3x^4y-3x^3y^2\)

e) \(\left(x^2-2x+3\right)\left(x-4\right)=x^3-4x^2-2x^2+8x+3x-12=x^3-6x^2+11x-12\)

f) \(\left(2x^3-3x-1\right)\cdot\left(5x+2\right)=5x\left(2x^3-3x-1\right)+2\left(2x^3-3x-1\right)=10x^4-15x^2-5x+4x^3-6x-2=10x^4+4x^3-15x^2-11x-2\)

a,\(4x^2-14x^2-6x=-10x^2-6x\)

các câu còn lại làm tg tuj

a) 2x.(x² - 7x - 3)

= 2xx² + 2x(-7x) + 2x(-3)

= 2x²x - 2.7xx - 2.3x

= 2x³ - 14x² - 6x