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Popular >

simplify (1-2x)^5(1+x)^5

Solution

simplify

(1 - 2 x)^{5} (1 + x)^{5}

Solution

(x + 1)^{5} (- 2 x + 1)^{5}

Solution steps

(1 - 2 x)^{5} (1 + x)^{5}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- 2 x + 1)^{5} (x + 1)^{5} = ((- 2 x + 1) (x + 1))^{5}

= ((- 2 x + 1) (x + 1))^{5}

Apply exponent rule:

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

= (- 2 x + 1)^{5} (x + 1)^{5}

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Frequently Asked Questions (FAQ)

What is (1-2x)^5(1+x)^5 ?
The solution to (1-2x)^5(1+x)^5 is (x+1)^5(-2x+1)^5