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Popular >

expand (5(y-1)^2)/2

Solution

expand

\frac{5 ( y - 1 ) ^{2}}{2}

Solution

\frac{5 y ^{2}}{2} - 5 y + \frac{5}{2}

Solution steps

\frac{5 ( y - 1 ) ^{2}}{2}

(y - 1)^{2} = y^{2} - 2 y + 1

= \frac{5 ( y ^{2} - 2 y + 1 )}{2}

Expand

5 (y^{2} - 2 y + 1) : 5 y^{2} - 10 y + 5

= \frac{5 y ^{2} - 10 y + 5}{2}

Apply the fraction rule:

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

\frac{5 y ^{2} - 10 y + 5}{2} = \frac{5 y ^{2}}{2} - \frac{10 y}{2} + \frac{5}{2}

= \frac{5 y ^{2}}{2} - \frac{10 y}{2} + \frac{5}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{5 y ^{2}}{2} - 5 y + \frac{5}{2}

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Frequently Asked Questions (FAQ)

What is expand (5(y-1)^2)/2 ?
The solution to expand (5(y-1)^2)/2 is (5y^2)/2-5y+5/2