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Popular >

expand (z^2+1)^2

Solution

expand

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

Solution

z^{4} + 2 z^{2} + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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