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

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Answer 1 · 2018-06-22T17:41:37

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

#(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#