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simplify 6(x^2+4)^2(x-4)^2

Solution

simplify

6 (x^{2} + 4)^{2} (x - 4)^{2}

Solution

6 (x - 4)^{2} (x^{2} + 4)^{2}

Solution steps

6 (x^{2} + 4)^{2} (x - 4)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(x^{2} + 4)^{2} (x - 4)^{2} = ((x^{2} + 4) (x - 4))^{2}

= 6 ((x^{2} + 4) (x - 4))^{2}

((x^{2} + 4) (x - 4))^{2} = (x^{2} + 4)^{2} (x - 4)^{2}

= 6 (x^{2} + 4)^{2} (x - 4)^{2}

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Frequently Asked Questions (FAQ)

What is 6(x^2+4)^2(x-4)^2 ?
The solution to 6(x^2+4)^2(x-4)^2 is 6(x-4)^2(x^2+4)^2