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Popular >

expand (s^2+2s+2)^2

Solution

expand

(s^{2} + 2 s + 2)^{2}

Solution

s^{4} + 4 s^{3} + 8 s^{2} + 8 s + 4

Solution steps

(s^{2} + 2 s + 2)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(s^{2} + 2 s + 2)^{2} = (s^{2} + 2 s + 2) (s^{2} + 2 s + 2)

= (s^{2} + 2 s + 2) (s^{2} + 2 s + 2)

Distribute parentheses

= s^{2} s^{2} + s^{2} \cdot 2 s + s^{2} \cdot 2 + 2 s s^{2} + 2 s \cdot 2 s + 2 s \cdot 2 + 2 s^{2} + 2 \cdot 2 s + 2 \cdot 2

Simplify

s^{2} s^{2} + s^{2} \cdot 2 s + s^{2} \cdot 2 + 2 s s^{2} + 2 s \cdot 2 s + 2 s \cdot 2 + 2 s^{2} + 2 \cdot 2 s + 2 \cdot 2 : s^{4} + 4 s^{3} + 8 s^{2} + 8 s + 4

= s^{4} + 4 s^{3} + 8 s^{2} + 8 s + 4

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Frequently Asked Questions (FAQ)

What is expand (s^2+2s+2)^2 ?
The solution to expand (s^2+2s+2)^2 is s^4+4s^3+8s^2+8s+4