What is expand x^2(-1/2 x+3)^2 ?

The solution to expand x^2(-1/2 x+3)^2 is (x^2(x^2-12x+36))/4

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expand x^2(-1/2 x+3)^2

expand

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

\frac{x ^{2} ( x ^{2} - 12 x + 36 )}{4}

Solution steps

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

Expand

(- \frac{1}{2} x + 3)^{2} : \frac{x ^{2} - 12 x + 36}{4}

= x^{2} \frac{x ^{2} - 12 x + 36}{4}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} ( x ^{2} - 12 x + 36 )}{4}

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

(\frac{1}{2} (x - \frac{1}{2} sin (2 x))) (cos (x))

\frac{( 2 x ^{3} - 9 x ^{2} + 3 x - 4 )}{( 2 x ^{2} - 7 x - 4 )}

(x + 3) (x - 4)

d^{2} (\frac{c}{2} - \frac{d}{3})

What is expand x^2(-1/2 x+3)^2 ?
The solution to expand x^2(-1/2 x+3)^2 is (x^2(x^2-12x+36))/4