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

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

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expand (x^2+3x+2)^2

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

x^{4} - 7 x^{2} - 8

\frac{1}{2} x + x

\frac{1}{\frac{2}{x}}

7 \div \frac{2}{3}

ln (\frac{x}{y})

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