What is expand ((50+b)^2)/4 ?

The solution to expand ((50+b)^2)/4 is 625+25b+(b^2)/4

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expand ((50+b)^2)/4

expand

\frac{( 50 + b ) ^{2}}{4}

625 + 25 b + \frac{b ^{2}}{4}

Solution steps

\frac{( 50 + b ) ^{2}}{4}

(50 + b)^{2} = 2500 + 100 b + b^{2}

= \frac{2500 + 100 b + b ^{2}}{4}

Apply the fraction rule:

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

\frac{2500 + 100 b + b ^{2}}{4} = \frac{2500}{4} + \frac{100 b}{4} + \frac{b ^{2}}{4}

= \frac{2500}{4} + \frac{100 b}{4} + \frac{b ^{2}}{4}

Divide the numbers:

\frac{2500}{4} = 625

= 625 + \frac{100 b}{4} + \frac{b ^{2}}{4}

Divide the numbers:

\frac{100}{4} = 25

= 625 + 25 b + \frac{b ^{2}}{4}

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(4 sin (x) - 4 cos (x))^{2}

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What is expand ((50+b)^2)/4 ?
The solution to expand ((50+b)^2)/4 is 625+25b+(b^2)/4