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Popular >

expand (1+x^2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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