Question
Factor the expression
(u−2y)(u2+2uy+4y2)(u+2y)(u2−2uy+4y2)
Evaluate
u6−64y6
Rewrite the expression in exponential form
(u3)2−(8y3)2
Use a2−b2=(a−b)(a+b) to factor the expression
(u3−8y3)(u3+8y3)
Evaluate
More Steps

Evaluate
u3−8y3
Rewrite the expression in exponential form
u3−(2y)3
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(u−2y)(u2+u×2y+(2y)2)
Use the commutative property to reorder the terms
(u−2y)(u2+2uy+(2y)2)
Evaluate
More Steps

Evaluate
(2y)2
To raise a product to a power,raise each factor to that power
22y2
Evaluate the power
4y2
(u−2y)(u2+2uy+4y2)
(u−2y)(u2+2uy+4y2)(u3+8y3)
Solution
More Steps

Evaluate
u3+8y3
Rewrite the expression in exponential form
u3+(2y)3
Use a3+b3=(a+b)(a2−ab+b2) to factor the expression
(u+2y)(u2−u×2y+(2y)2)
Use the commutative property to reorder the terms
(u+2y)(u2−2uy+(2y)2)
Evaluate
More Steps

Evaluate
(2y)2
To raise a product to a power,raise each factor to that power
22y2
Evaluate the power
4y2
(u+2y)(u2−2uy+4y2)
(u−2y)(u2+2uy+4y2)(u+2y)(u2−2uy+4y2)
Show Solution
