What is (2/3 a-3 b/2-4 c/5)^2 ?

The solution to (2/3 a-3 b/2-4 c/5)^2 is ((20a-45b-24c)^2)/(900)

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simplify (2/3 a-3 b/2-4 c/5)^2

simplify

(\frac{2}{3} a - 3 \frac{b}{2} - 4 \frac{c}{5})^{2}

\frac{( 20 a - 45 b - 24 c ) ^{2}}{900}

Solution steps

(\frac{2}{3} a - 3 \cdot \frac{b}{2} - 4 \cdot \frac{c}{5})^{2}

Simplify

\frac{2}{3} a - 3 \cdot \frac{b}{2} - 4 \cdot \frac{c}{5} : \frac{20 a - 45 b - 24 c}{30}

= (\frac{20 a - 45 b - 24 c}{30})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 20 a - 45 b - 24 c ) ^{2}}{3 0 ^{2}}

3 0^{2} = 900

= \frac{( 20 a - 45 b - 24 c ) ^{2}}{900}

(x^{3} - 2 x^{2} + x - 1) (5 - x)

- x^{2} + 2 x + 15

2 sin (x) - (\frac{( 4 sin ( x ) - cos ( x ) )}{2})

16 x^{4} - 54 y^{3}

\frac{( 6 m ^{2} + 8 m )}{( 3 m + 4 )}

What is (2/3 a-3 b/2-4 c/5)^2 ?
The solution to (2/3 a-3 b/2-4 c/5)^2 is ((20a-45b-24c)^2)/(900)