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Popular >

expand (a^2+1)^2

Solution

expand

(a^{2} + 1)^{2}

Solution

a^{4} + 2 a^{2} + 1

Solution steps

(a^{2} + 1)^{2}

Apply Perfect Square Formula:

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

(a^{2} + 1)^{2} = (a^{2})^{2} + 2 a^{2} \cdot 1 + 1^{2}

= (a^{2})^{2} + 2 a^{2} \cdot 1 + 1^{2}

Simplify

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

= a^{4} + 2 a^{2} + 1

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Frequently Asked Questions (FAQ)

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