What is expand ((21x^2-51xy))/((-3x)) ?

The solution to expand ((21x^2-51xy))/((-3x)) is -7x+17y

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expand ((21x^2-51xy))/((-3x))

expand

\frac{( 21 x ^{2} - 51 x y )}{( - 3 x )}

- 7 x + 17 y

Solution steps

\frac{21 x ^{2} - 51 x y}{- 3 x}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{21 x ^{2} - 51 x y}{3 x}

Cancel

\frac{21 x ^{2} - 51 x y}{3 x} : 7 x - 17 y

= - (7 x - 17 y)

Distribute parentheses

= - (7 x) - (- 17 y)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - 7 x + 17 y

(2 x x + 4 x) (2 x)

(x + \frac{3}{2}) (x - 1)^{2}

a sin (\frac{π}{6} (k + 2)) + b cos (\frac{π}{6} (k + 2))

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

8 (- 0.4 e^{- 0.4 t} + 0.6 e^{- 0.6 t})

What is expand ((21x^2-51xy))/((-3x)) ?
The solution to expand ((21x^2-51xy))/((-3x)) is -7x+17y