Question
Factor the expression
(xy2−3)(x2y4+3xy2+9)
Evaluate
x3y6−27
Rewrite the expression in exponential form
(xy2)3−33
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(xy2−3)((xy2)2+xy2×3+32)
Evaluate
More Steps

Evaluate
(xy2)2
To raise a product to a power,raise each factor to that power
x2(y2)2
Evaluate the power
More Steps

Evaluate
(y2)2
Multiply the exponents
y2×2
Multiply the terms
y4
x2y4
(xy2−3)(x2y4+xy2×3+32)
Use the commutative property to reorder the terms
(xy2−3)(x2y4+3xy2+32)
Solution
(xy2−3)(x2y4+3xy2+9)
Show Solution
