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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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Frequently Asked Questions (FAQ)

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