Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(2a+3b)(4a2−6ab+9b2)
Evaluate
24a3+81b3
Factor out 3 from the expression
3(8a3+27b3)
Solution
More Steps
Evaluate
8a3+27b3
Rewrite the expression in exponential form
(2a)3+(3b)3
Use a3+b3=(a+b)(a2−ab+b2) to factor the expression
(2a+3b)((2a)2−2a×3b+(3b)2)
Evaluate
More Steps
Evaluate
(2a)2
To raise a product to a power,raise each factor to that power
22a2
Evaluate the power
4a2
(2a+3b)(4a2−2a×3b+(3b)2)
Multiply the numbers
(2a+3b)(4a2−6ab+(3b)2)
Evaluate
More Steps
Evaluate
(3b)2
To raise a product to a power,raise each factor to that power
32b2
Evaluate the power
9b2
(2a+3b)(4a2−6ab+9b2)
3(2a+3b)(4a2−6ab+9b2)
Show Solution
