What is expand ((-6)/(5m-3n))^2 ?

The solution to expand ((-6)/(5m-3n))^2 is (36)/(25m^2-30mn+9n^2)

Popular >

expand ((-6)/(5m-3n))^2

expand

(\frac{- 6}{5 m - 3 n})^{2}

\frac{36}{25 m ^{2} - 30 mn + 9 n ^{2}}

Solution steps

(\frac{- 6}{5 m - 3 n})^{2}

Apply the fraction rule:

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

= (- \frac{6}{5 m - 3 n})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{6}{5 m - 3 n})^{2} = (\frac{6}{5 m - 3 n})^{2}

= (\frac{6}{5 m - 3 n})^{2}

Apply exponent rule:

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

= \frac{6 ^{2}}{( 5 m - 3 n ) ^{2}}

(5 m - 3 n)^{2} = 25 m^{2} - 30 mn + 9 n^{2}

= \frac{6 ^{2}}{25 m ^{2} - 30 mn + 9 n ^{2}}

6^{2} = 36

= \frac{36}{25 m ^{2} - 30 mn + 9 n ^{2}}

\frac{14 x}{( x ^{2} - 9 ) ^{2}}

(0.9 a + 1.1 b + 1.1 c + \frac{4 d}{3})^{2}

s (s = 180 n - 360)

(3 t (x) - 5) x t^{'}

\frac{( 2 - x ) ( x - 3 ) ( x - 4 )}{24}

What is expand ((-6)/(5m-3n))^2 ?
The solution to expand ((-6)/(5m-3n))^2 is (36)/(25m^2-30mn+9n^2)