What is expand (s+2)^2(s^2+4s+4) ?

The solution to expand (s+2)^2(s^2+4s+4) is s^4+8s^3+24s^2+32s+16

Popular >

expand (s+2)^2(s^2+4s+4)

expand

(s + 2)^{2} (s^{2} + 4 s + 4)

s^{4} + 8 s^{3} + 24 s^{2} + 32 s + 16

Solution steps

(s + 2)^{2} (s^{2} + 4 s + 4)

Expand

(s + 2)^{2} : s^{2} + 4 s + 4

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

Distribute parentheses

= s^{2} s^{2} + s^{2} \cdot 4 s + s^{2} \cdot 4 + 4 s s^{2} + 4 s \cdot 4 s + 4 s \cdot 4 + 4 s^{2} + 4 \cdot 4 s + 4 \cdot 4

Simplify

s^{2} s^{2} + s^{2} \cdot 4 s + s^{2} \cdot 4 + 4 s s^{2} + 4 s \cdot 4 s + 4 s \cdot 4 + 4 s^{2} + 4 \cdot 4 s + 4 \cdot 4 : s^{4} + 8 s^{3} + 24 s^{2} + 32 s + 16

= s^{4} + 8 s^{3} + 24 s^{2} + 32 s + 16

\frac{1 - 2 t}{s ^{2} ( s ^{2} + s + 4 )}

π (100 - 16 h + \frac{12 h ^{2}}{25})

x (x + - x^{2} + 2) (x - - x^{2} + 2)

l im x \Rightarrow 1 (1 - x) tan (\frac{π x}{2})

(x + 15 + 16 i) (x + 15 - 16 i)

What is expand (s+2)^2(s^2+4s+4) ?
The solution to expand (s+2)^2(s^2+4s+4) is s^4+8s^3+24s^2+32s+16