What is expand ((-x+5)/y)^2 ?

The solution to expand ((-x+5)/y)^2 is (x^2)/(y^2)-(10x)/(y^2)+(25)/(y^2)

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expand ((-x+5)/y)^2

expand

(\frac{- x + 5}{y})^{2}

\frac{x ^{2}}{y ^{2}} - \frac{10 x}{y ^{2}} + \frac{25}{y ^{2}}

Solution steps

(\frac{- x + 5}{y})^{2}

Apply exponent rule:

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

= \frac{( - x + 5 ) ^{2}}{y ^{2}}

(- x + 5)^{2} = x^{2} - 10 x + 25

= \frac{x ^{2} - 10 x + 25}{y ^{2}}

Apply the fraction rule:

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

\frac{x ^{2} - 10 x + 25}{y ^{2}} = \frac{x ^{2}}{y ^{2}} - \frac{10 x}{y ^{2}} + \frac{25}{y ^{2}}

= \frac{x ^{2}}{y ^{2}} - \frac{10 x}{y ^{2}} + \frac{25}{y ^{2}}

\frac{( 4 x - 1 ) ( 2 x + 3 )}{2 ( 9 x - 2 )}

2 (x + Δ x)^{2} - 3 (x + Δ x)

\frac{d}{d t} ((x) (4 x + 7 y))

(y cos (x)) (x + d x)

\frac{1}{2} (1 - e^{- 10 t})

What is expand ((-x+5)/y)^2 ?
The solution to expand ((-x+5)/y)^2 is (x^2)/(y^2)-(10x)/(y^2)+(25)/(y^2)