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Popular >

expand (x^2-16)^2

Solution

expand

(x^{2} - 16)^{2}

Solution

x^{4} - 32 x^{2} + 256

Solution steps

(x^{2} - 16)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x^{2} - 16)^{2} = (x^{2})^{2} - 2 x^{2} \cdot 16 + 1 6^{2}

= (x^{2})^{2} - 2 x^{2} \cdot 16 + 1 6^{2}

Simplify

(x^{2})^{2} - 2 x^{2} \cdot 16 + 1 6^{2} : x^{4} - 32 x^{2} + 256

= x^{4} - 32 x^{2} + 256

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Frequently Asked Questions (FAQ)

What is expand (x^2-16)^2 ?
The solution to expand (x^2-16)^2 is x^4-32x^2+256