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Popular >

expand ((2y-3)^2)/4

Solution

expand

\frac{( 2 y - 3 ) ^{2}}{4}

Solution

y^{2} - 3 y + \frac{9}{4}

Solution steps

\frac{( 2 y - 3 ) ^{2}}{4}

(2 y - 3)^{2} = 4 y^{2} - 12 y + 9

= \frac{4 y ^{2} - 12 y + 9}{4}

Apply the fraction rule:

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

\frac{4 y ^{2} - 12 y + 9}{4} = \frac{4 y ^{2}}{4} - \frac{12 y}{4} + \frac{9}{4}

= \frac{4 y ^{2}}{4} - \frac{12 y}{4} + \frac{9}{4}

Divide the numbers:

\frac{4}{4} = 1

= y^{2} - \frac{12 y}{4} + \frac{9}{4}

Divide the numbers:

\frac{12}{4} = 3

= y^{2} - 3 y + \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is expand ((2y-3)^2)/4 ?
The solution to expand ((2y-3)^2)/4 is y^2-3y+9/4