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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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