What is (3(1-x/5-z/4)^2)/2 ?

The solution to (3(1-x/5-z/4)^2)/2 is (3(20-4x-5z)^2)/(800)

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simplify (3(1-x/5-z/4)^2)/2

simplify

\frac{3 ( 1 - \frac{x}{5} - \frac{z}{4} ) ^{2}}{2}

\frac{3 ( 20 - 4 x - 5 z ) ^{2}}{800}

Solution steps

\frac{3 ( 1 - \frac{x}{5} - \frac{z}{4} ) ^{2}}{2}

Simplify

3 (1 - \frac{x}{5} - \frac{z}{4})^{2} : \frac{3 ( 20 - 4 x - 5 z ) ^{2}}{400}

= \frac{\frac{3 ( 20 - 4 x - 5 z ) ^{2}}{400}}{2}

Apply the fraction rule:

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

= \frac{3 ( 20 - 4 x - 5 z ) ^{2}}{400 \cdot 2}

Multiply the numbers:

400 \cdot 2 = 800

= \frac{3 ( 20 - 4 x - 5 z ) ^{2}}{800}

18 m - 30 n

∣ 9 x - 5 ∣ + 8 < 3

0.5 - ∣ x - 12 ∣ = - 0.25

2 x^{2} + 3 x - 7 = x^{2} + 5 x + 39

\frac{\frac{3}{8} - \frac{3}{4}}{\frac{2}{3} - \frac{3}{5}}

What is (3(1-x/5-z/4)^2)/2 ?
The solution to (3(1-x/5-z/4)^2)/2 is (3(20-4x-5z)^2)/(800)