Question

Simplify the expression
(4x-6y^(3))^(2)

Answer 1

16x^2 -48xy^3 +36y^6

Explanation:

(4x-6y^(3))^(2)

FOIL

(4x-6y^3) (4x - 6y^3)

first: 4x*4x = 16x^2

outer : 4x (-6y^3) =-24xy^3

inner : 4x (-6y^3) =-24xy^3

last: -6y^3 * - 6y^3 = 36y^6

Add them together

16x^2 -24xy^3-24xy^3+36y^6

Combine like terms

16x^2 -48xy^3 +36y^6