What is expand (0.07)/2 (100+L/2)^2 ?

The solution to expand (0.07)/2 (100+L/2)^2 is (7(40000+400L+L^2))/(800)

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expand (0.07)/2 (100+L/2)^2

expand

\frac{0.07}{2} (100 + \frac{L}{2})^{2}

\frac{7 ( 40000 + 400 L + L ^{2} )}{800}

Solution steps

\frac{0.07}{2} (100 + \frac{L}{2})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(100 + \frac{L}{2})^{2} = 10 0^{2} + 2 \cdot 100 \cdot \frac{L}{2} + (\frac{L}{2})^{2}

= \frac{0.07}{2} (10 0^{2} + 2 \cdot 100 \cdot \frac{L}{2} + (\frac{L}{2})^{2})

Simplify

10 0^{2} + 2 \cdot 100 \cdot \frac{L}{2} + (\frac{L}{2})^{2} : \frac{40000 + 400 L + L ^{2}}{4}

= \frac{0.07}{2} \cdot \frac{40000 + 400 L + L ^{2}}{4}

Simplify

\frac{0.07}{2} \cdot \frac{40000 + 400 L + L ^{2}}{4} : \frac{7 ( 40000 + 400 L + L ^{2} )}{800}

= \frac{7 ( 40000 + 400 L + L ^{2} )}{800}

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

\frac{5 ( x - 140 ) ( x - 220 ) ( x - 240 )}{64}

\frac{( 2 a - b ) - 3}{4 - 2 ( 2 a - b ) ^{2}}

d x + (\frac{x}{y} - sin (y)) d y

What is expand (0.07)/2 (100+L/2)^2 ?
The solution to expand (0.07)/2 (100+L/2)^2 is (7(40000+400L+L^2))/(800)