What is expand ((-20-7x)^2)/4 ?

The solution to expand ((-20-7x)^2)/4 is (49x^2)/4+70x+100

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expand ((-20-7x)^2)/4

expand

\frac{( - 20 - 7 x ) ^{2}}{4}

\frac{49 x ^{2}}{4} + 70 x + 100

Solution steps

\frac{( - 20 - 7 x ) ^{2}}{4}

(- 20 - 7 x)^{2} = 400 + 280 x + 49 x^{2}

= \frac{400 + 280 x + 49 x ^{2}}{4}

Apply the fraction rule:

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

\frac{400 + 280 x + 49 x ^{2}}{4} = \frac{400}{4} + \frac{280 x}{4} + \frac{49 x ^{2}}{4}

= \frac{400}{4} + \frac{280 x}{4} + \frac{49 x ^{2}}{4}

Divide the numbers:

\frac{400}{4} = 100

= 100 + \frac{280 x}{4} + \frac{49 x ^{2}}{4}

Divide the numbers:

\frac{280}{4} = 70

= 100 + 70 x + \frac{49 x ^{2}}{4}

Rewrite in standard form

= \frac{49 x ^{2}}{4} + 70 x + 100

\frac{8 s}{( s - 1 ) ( s + 2 ) ( s + 3 )}

\frac{10 ( 3 - 7 )}{7}

3456

(8800 - y - z)^{5}

(4 - 16 x)^{\frac{1}{2}}

What is expand ((-20-7x)^2)/4 ?
The solution to expand ((-20-7x)^2)/4 is (49x^2)/4+70x+100