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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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