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Popular >

expand (4+x^2)^2

Solution

expand

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

Solution

16 + 8 x^{2} + x^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

4^{2} + 2 \cdot 4 x^{2} + (x^{2})^{2} : 16 + 8 x^{2} + x^{4}

= 16 + 8 x^{2} + x^{4}

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Frequently Asked Questions (FAQ)

What is expand (4+x^2)^2 ?
The solution to expand (4+x^2)^2 is 16+8x^2+x^4