Question

Which expression is equivalent to this polynomial expression?

Answer 1

Answer:

C. $-8x^7 + 18x^5y^4 - 12x^2y^4 + 27y^8$

Step-by-step explanation:

Given:

$(2x^5 + 3y^4)(-4x^2 + 9y^4)$

Required:

Determine an expression equivalent to it

SOLUTION:

$(2x^5 + 3y^4)(-4x^2 + 9y^4)$

Apply the distributive property of multiplication

$(2x^5)(-4x^2 + 9y^4) +3y^4)(-4x^2 + 9y^4)$

$-8x^7 + 18x^5y^4 - 12x^2y^4 + 27y^8$

Therefkre, the equivalent expression of $(2x^5 + 3y^4)(-4x^2 + 9y^4) = -8x^7 + 18x^5y^4 - 12x^2y^4 + 27y^8$