What is expand (s+1)^3(s+4) ?

The solution to expand (s+1)^3(s+4) is s^4+7s^3+15s^2+13s+4

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expand (s+1)^3(s+4)

expand

(s + 1)^{3} (s + 4)

s^{4} + 7 s^{3} + 15 s^{2} + 13 s + 4

Solution steps

(s + 1)^{3} (s + 4)

Expand

(s + 1)^{3} : s^{3} + 3 s^{2} + 3 s + 1

= (s^{3} + 3 s^{2} + 3 s + 1) (s + 4)

Distribute parentheses

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

Simplify

s^{3} s + s^{3} \cdot 4 + 3 s^{2} s + 3 s^{2} \cdot 4 + 3 ss + 3 s \cdot 4 + 1 \cdot s + 1 \cdot 4 : s^{4} + 7 s^{3} + 15 s^{2} + 13 s + 4

= s^{4} + 7 s^{3} + 15 s^{2} + 13 s + 4

a^{2} + 2 a (a + b) + (a + b)^{2}

lo g_{3} (0.1)

16 + 16

6 \times (- 6)

25 x^{9}

What is expand (s+1)^3(s+4) ?
The solution to expand (s+1)^3(s+4) is s^4+7s^3+15s^2+13s+4