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

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

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expand (k+2)^2(k^2+4k+4)

expand

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

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

\frac{- x ^{3} + 2 x}{( x - 1 ) ^{2}}

\frac{1 - 5 n ^{4}}{( 2 n ^{2} + 1 ) ^{2}}

\frac{d}{d y} ((x) (x^{2} + y^{2} - 2 y - 10))

2 (1 - 3)

2 (5 + 22)

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