Question

Bài 2 rút gọn các biểu thức sau

A)(2x+3y)(x-2y)-(4x³y-6x²y²-3xy³):2xy

B) (x-2)³ -x(x+1)(x-1)-(3x-1)(3x-2)

Answer 1

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

\(=2x^2-4xy+3xy-6y^2-\dfrac{2xy\cdot\left(2x^2-3xy-1,5y^2\right)}{2xy}\)
\(=2x^2-xy-6y^2-2x^2+3xy+1,5y^2\)

\(=2xy-4,5y^2\)

b: \(\left(x-2\right)^3-x\left(x+1\right)\left(x-1\right)-\left(3x-1\right)\left(3x-2\right)\)

\(=x^3-6x^2+12x-8-x\left(x^2-1\right)-\left(9x^2-6x-3x+2\right)\)

\(=x^3-6x^2+12x-8-x^3+x-9x^2+9x-2\)

\(=-15x^2+22x-10\)