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Popular >

factor (1-x^2)^n

Solution

factor

(1 - x^{2})^{n}

Solution

(1 + x)^{n} (1 - x)^{n}

Solution steps

(1 - x^{2})^{n}

Factor

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

= ((1 + x) (1 - x))^{n}

Apply exponent rule:

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

((1 + x) (1 - x))^{n} = (1 + x)^{n} (1 - x)^{n}

= (1 + x)^{n} (1 - x)^{n}

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Frequently Asked Questions (FAQ)

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