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Popular >

expand (s+1)(s+2)^2

Solution

expand

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

Solution

s^{3} + 5 s^{2} + 8 s + 4

Solution steps

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

= (s + 2)^{2} (s + 1)

Expand

(s + 2)^{2} : s^{2} + 4 s + 4

= (s^{2} + 4 s + 4) (s + 1)

Distribute parentheses

= s^{2} s + s^{2} \cdot 1 + 4 ss + 4 s \cdot 1 + 4 s + 4 \cdot 1

Simplify

s^{2} s + s^{2} \cdot 1 + 4 ss + 4 s \cdot 1 + 4 s + 4 \cdot 1 : s^{3} + 5 s^{2} + 8 s + 4

= s^{3} + 5 s^{2} + 8 s + 4

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Frequently Asked Questions (FAQ)

What is expand (s+1)(s+2)^2 ?
The solution to expand (s+1)(s+2)^2 is s^3+5s^2+8s+4