What is expand (k^2+3k+2)^2 ?

The solution to expand (k^2+3k+2)^2 is k^4+6k^3+13k^2+12k+4

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expand (k^2+3k+2)^2

expand

(k^{2} + 3 k + 2)^{2}

k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

Solution steps

(k^{2} + 3 k + 2)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(k^{2} + 3 k + 2)^{2} = (k^{2} + 3 k + 2) (k^{2} + 3 k + 2)

= (k^{2} + 3 k + 2) (k^{2} + 3 k + 2)

Distribute parentheses

= k^{2} k^{2} + k^{2} \cdot 3 k + k^{2} \cdot 2 + 3 k k^{2} + 3 k \cdot 3 k + 3 k \cdot 2 + 2 k^{2} + 2 \cdot 3 k + 2 \cdot 2

Simplify

k^{2} k^{2} + k^{2} \cdot 3 k + k^{2} \cdot 2 + 3 k k^{2} + 3 k \cdot 3 k + 3 k \cdot 2 + 2 k^{2} + 2 \cdot 3 k + 2 \cdot 2 : k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

= k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

\frac{7}{x + 2} - \frac{4}{x - 5}

(x - 9) (x + 5)

(\frac{2}{3})^{2} \cdot (\frac{2}{3})^{- 3}

(3 x + 2)^{4}

(m - 2)^{2}

What is expand (k^2+3k+2)^2 ?
The solution to expand (k^2+3k+2)^2 is k^4+6k^3+13k^2+12k+4