What is expand (x^2(49-x^2)3)/(2dx) ?

The solution to expand (x^2(49-x^2)3)/(2dx) is (147x^2)/(2dx)-(3x^4)/(2dx)

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expand (x^2(49-x^2)3)/(2dx)

expand

\frac{x ^{2} ( 49 - x ^{2} ) 3}{2 d x}

\frac{147 x ^{2}}{2 d x} - \frac{3 x ^{4}}{2 d x}

Solution steps

\frac{x ^{2} ( 49 - x ^{2} ) \cdot 3}{2 d x}

Expand

x^{2} (49 - x^{2}) \cdot 3 : 147 x^{2} - 3 x^{4}

= \frac{147 x ^{2} - 3 x ^{4}}{2 d x}

Apply the fraction rule:

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

\frac{147 x ^{2} - 3 x ^{4}}{2 d x} = \frac{147 x ^{2}}{2 d x} - \frac{3 x ^{4}}{2 d x}

= \frac{147 x ^{2}}{2 d x} - \frac{3 x ^{4}}{2 d x}

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What is expand (x^2(49-x^2)3)/(2dx) ?
The solution to expand (x^2(49-x^2)3)/(2dx) is (147x^2)/(2dx)-(3x^4)/(2dx)