Question
Simplify the expression
128m6−384m4n2+384m2n4−128n6
Evaluate
(m2−n2)2×8(m2−n2)×16
Multiply the terms with the same base by adding their exponents
(m2−n2)2+1×8×16
Add the numbers
(m2−n2)3×8×16
Multiply the terms
(m2−n2)3×128
Use the commutative property to reorder the terms
128(m2−n2)3
Expand the expression
More Steps

Evaluate
(m2−n2)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
(m2)3−3(m2)2n2+3m2(n2)2−(n2)3
Calculate
m6−3m4n2+3m2n4−n6
128(m6−3m4n2+3m2n4−n6)
Apply the distributive property
128m6−128×3m4n2+128×3m2n4−128n6
Multiply the numbers
128m6−384m4n2+128×3m2n4−128n6
Solution
128m6−384m4n2+384m2n4−128n6
Show Solution

Factor the expression
128(m+n)3(m−n)3
Evaluate
(m2−n2)2×8(m2−n2)×16
Multiply the terms with the same base by adding their exponents
(m2−n2)2+1×8×16
Add the numbers
(m2−n2)3×8×16
Multiply the terms
(m2−n2)3×128
Use the commutative property to reorder the terms
128(m2−n2)3
Solution
More Steps

Evaluate
(m2−n2)3
Use a2−b2=(a−b)(a+b) to factor the expression
((m+n)(m−n))3
Evaluate the power
(m+n)3(m−n)3
128(m+n)3(m−n)3
Show Solution
