Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x4(x−3y)(x2+3xy+9y2)
Evaluate
x7−27x4y3
Factor out x4 from the expression
x4(x3−27y3)
Solution
More Steps
Evaluate
x3−27y3
Rewrite the expression in exponential form
x3−(3y)3
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−3y)(x2+x×3y+(3y)2)
Use the commutative property to reorder the terms
(x−3y)(x2+3xy+(3y)2)
Evaluate
More Steps
Evaluate
(3y)2
To raise a product to a power,raise each factor to that power
32y2
Evaluate the power
9y2
(x−3y)(x2+3xy+9y2)
x4(x−3y)(x2+3xy+9y2)
Show Solution
