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Popular >

expand (s+1)^2(s+10)

Solution

expand

(s + 1)^{2} (s + 10)

Solution

s^{3} + 12 s^{2} + 21 s + 10

Solution steps

(s + 1)^{2} (s + 10)

Expand

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

= (s^{2} + 2 s + 1) (s + 10)

Distribute parentheses

= s^{2} s + s^{2} \cdot 10 + 2 ss + 2 s \cdot 10 + 1 \cdot s + 1 \cdot 10

Simplify

s^{2} s + s^{2} \cdot 10 + 2 ss + 2 s \cdot 10 + 1 \cdot s + 1 \cdot 10 : s^{3} + 12 s^{2} + 21 s + 10

= s^{3} + 12 s^{2} + 21 s + 10

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Frequently Asked Questions (FAQ)

What is expand (s+1)^2(s+10) ?
The solution to expand (s+1)^2(s+10) is s^3+12s^2+21s+10