How do you simplify (4x - 3y ) *( 2x^{2} - x y + 5y^{2} )?

1 Answer
Jun 22, 2018

8x^3-10x^2y+23xy^2-15y^3

Explanation:

(4x-3y)*(2x^2-xy+5y^2)

Multiply out the brackets.

4x*2x^2+4x*-xy+4x*5y^2-3y*2x^2-3y*-xy-3y*5y^2

Simplify each product.

8x^3-4x^2y+20xy^2-6x^2y+3xy^2-15y^3

Rearrange to group the like terms.

8x^3-4x^2y-6x^2y+20xy^2+3xy^2-15y^3

Simplify be combining the like terms.

8x^3-10x^2y+23xy^2-15y^3