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

The solution to expand x(x^2+3x+2)^2 is x^5+6x^4+13x^3+12x^2+4x

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

expand

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

x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

Solution steps

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

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

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

Distribute parentheses

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

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

Simplify

x^{4} x + 6 x^{3} x + 13 x^{2} x + 12 xx + 4 x : x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

= x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

\frac{( x + 2 ) ( x + 1 )}{2}

π (2 + ln (2 - 1))

\frac{s ^{3} + 25 s + 2 s ^{2} + 55}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 25 )}

\frac{x ^{2} - 3}{x ^{2}}

(2 x^{3} - x y^{2}) d x

What is expand x(x^2+3x+2)^2 ?
The solution to expand x(x^2+3x+2)^2 is x^5+6x^4+13x^3+12x^2+4x