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Popular >

expand (s+5)(s+1)^2

Solution

expand

(s + 5) (s + 1)^{2}

Solution

s^{3} + 7 s^{2} + 11 s + 5

Solution steps

(s + 5) (s + 1)^{2}

= (s + 1)^{2} (s + 5)

Expand

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

= (s^{2} + 2 s + 1) (s + 5)

Distribute parentheses

= s^{2} s + s^{2} \cdot 5 + 2 ss + 2 s \cdot 5 + 1 \cdot s + 1 \cdot 5

Simplify

s^{2} s + s^{2} \cdot 5 + 2 ss + 2 s \cdot 5 + 1 \cdot s + 1 \cdot 5 : s^{3} + 7 s^{2} + 11 s + 5

= s^{3} + 7 s^{2} + 11 s + 5

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Frequently Asked Questions (FAQ)

What is expand (s+5)(s+1)^2 ?
The solution to expand (s+5)(s+1)^2 is s^3+7s^2+11s+5