What is (500+c/3-c)(100-(2c)/(15)) ?

The solution to (500+c/3-c)(100-(2c)/(15)) is ((1500-2c)^2)/(45)

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simplify (500+c/3-c)(100-(2c)/(15))

simplify

(500 + \frac{c}{3} - c) (100 - \frac{2 c}{15})

\frac{( 1500 - 2 c ) ^{2}}{45}

Solution steps

(500 + \frac{c}{3} - c) (100 - \frac{2 c}{15})

Join

500 + \frac{c}{3} - c : \frac{1500 - 2 c}{3}

= \frac{1500 - 2 c}{3} (100 - \frac{2 c}{15})

Apply the fraction rule:

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

= \frac{( 1500 - 2 c ) ( 100 - \frac{2 c}{15} )}{3}

Simplify

(1500 - 2 c) (100 - \frac{2 c}{15}) : \frac{( 1500 - 2 c ) ^{2}}{15}

= \frac{\frac{( 1500 - 2 c ) ^{2}}{15}}{3}

Apply the fraction rule:

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

= \frac{( 1500 - 2 c ) ^{2}}{15 \cdot 3}

Multiply the numbers:

15 \cdot 3 = 45

= \frac{( 1500 - 2 c ) ^{2}}{45}

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What is (500+c/3-c)(100-(2c)/(15)) ?
The solution to (500+c/3-c)(100-(2c)/(15)) is ((1500-2c)^2)/(45)