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Popular >

expand (4x^2+1)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{2})^{2} + 2 \cdot 4 x^{2} \cdot 1 + 1^{2} : 16 x^{4} + 8 x^{2} + 1

= 16 x^{4} + 8 x^{2} + 1

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Frequently Asked Questions (FAQ)

What is expand (4x^2+1)^2 ?
The solution to expand (4x^2+1)^2 is 16x^4+8x^2+1