What is expand (45(y-3)^2)/2 ?

The solution to expand (45(y-3)^2)/2 is (45y^2)/2-135y+405/2

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expand (45(y-3)^2)/2

expand

\frac{45 ( y - 3 ) ^{2}}{2}

\frac{45 y ^{2}}{2} - 135 y + \frac{405}{2}

Solution steps

\frac{45 ( y - 3 ) ^{2}}{2}

(y - 3)^{2} = y^{2} - 6 y + 9

= \frac{45 ( y ^{2} - 6 y + 9 )}{2}

Expand

45 (y^{2} - 6 y + 9) : 45 y^{2} - 270 y + 405

= \frac{45 y ^{2} - 270 y + 405}{2}

Apply the fraction rule:

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

\frac{45 y ^{2} - 270 y + 405}{2} = \frac{45 y ^{2}}{2} - \frac{270 y}{2} + \frac{405}{2}

= \frac{45 y ^{2}}{2} - \frac{270 y}{2} + \frac{405}{2}

Divide the numbers:

\frac{270}{2} = 135

= \frac{45 y ^{2}}{2} - 135 y + \frac{405}{2}

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What is expand (45(y-3)^2)/2 ?
The solution to expand (45(y-3)^2)/2 is (45y^2)/2-135y+405/2