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Popular >

expand (x^4+1)^2

Solution

expand

(x^{4} + 1)^{2}

Solution

x^{8} + 2 x^{4} + 1

Solution steps

(x^{4} + 1)^{2}

Apply Perfect Square Formula:

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

(x^{4} + 1)^{2} = (x^{4})^{2} + 2 x^{4} \cdot 1 + 1^{2}

= (x^{4})^{2} + 2 x^{4} \cdot 1 + 1^{2}

Simplify

(x^{4})^{2} + 2 x^{4} \cdot 1 + 1^{2} : x^{8} + 2 x^{4} + 1

= x^{8} + 2 x^{4} + 1

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Frequently Asked Questions (FAQ)

What is expand (x^4+1)^2 ?
The solution to expand (x^4+1)^2 is x^8+2x^4+1