Question
Simplify the expression
419904a2b4−288a2b2
Evaluate
(81a)4×64b4−288a2b2
Simplify the root
More Steps

Evaluate
81a
Rewrite the exponent as a sum
34a
The root of a product is equal to the product of the roots of each factor
34×a
Reduce the index of the radical and exponent with 2
9a
(9a)4×64b4−288a2b2
Multiply the terms
More Steps

Multiply the terms
(9a)4×64b4
Simplify
64(9a)4b4
Multiply the terms
64(9a×b)4
64(9a×b)4−288a2b2
Solution
419904a2b4−288a2b2
Show Solution

Factor the expression
288b2a2(1458b2−1)
Evaluate
(81a)4×64b4−288a2b2
Simplify the root
More Steps

Evaluate
81a
Rewrite the exponent as a sum
34a
The root of a product is equal to the product of the roots of each factor
34×a
Reduce the index of the radical and exponent with 2
9a
(9a)4×64b4−288a2b2
Multiply the terms
More Steps

Multiply the terms
(9a)4×64b4
Simplify
64(9a)4b4
Multiply the terms
64(9a×b)4
64(9a×b)4−288a2b2
Rewrite the expression
288a×b×1458(a×b)3−288a×b×baa
Factor out 288a×b from the expression
288a×b(1458(a×b)3−baa)
Factor the expression
More Steps

Evaluate
1458(a×b)3−baa
Rewrite the expression
aba×1458b2−aba
Factor out aba from the expression
aba×(1458b2−1)
288a×baba×(1458b2−1)
Solution
288b2a2(1458b2−1)
Show Solution
