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Popular >

simplify (1+x)^8(1-2x)^8

Solution

simplify

(1 + x)^{8} (1 - 2 x)^{8}

Solution

(x + 1)^{8} (- 2 x + 1)^{8}

Solution steps

(1 + x)^{8} (1 - 2 x)^{8}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(x + 1)^{8} (- 2 x + 1)^{8} = ((x + 1) (- 2 x + 1))^{8}

= ((x + 1) (- 2 x + 1))^{8}

Apply exponent rule:

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

= (x + 1)^{8} (- 2 x + 1)^{8}

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Frequently Asked Questions (FAQ)

What is (1+x)^8(1-2x)^8 ?
The solution to (1+x)^8(1-2x)^8 is (x+1)^8(-2x+1)^8