What is expand ((4x-1000)^2)/9 ?

The solution to expand ((4x-1000)^2)/9 is (16x^2)/9-(8000x)/9+1000000/9

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expand ((4x-1000)^2)/9

expand

\frac{( 4 x - 1000 ) ^{2}}{9}

\frac{16 x ^{2}}{9} - \frac{8000 x}{9} + \frac{1000000}{9}

Solution steps

\frac{( 4 x - 1000 ) ^{2}}{9}

(4 x - 1000)^{2} = 16 x^{2} - 8000 x + 1000000

= \frac{16 x ^{2} - 8000 x + 1000000}{9}

Apply the fraction rule:

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

\frac{16 x ^{2} - 8000 x + 1000000}{9} = \frac{16 x ^{2}}{9} - \frac{8000 x}{9} + \frac{1000000}{9}

= \frac{16 x ^{2}}{9} - \frac{8000 x}{9} + \frac{1000000}{9}

e^{2 x} (2 x e^{2 x} + e^{2 x})

3250 + 5160

\frac{( 7 x ^{2} - 17 x + 6 ) x + 2}{7 x - 3}

(y^{2} - x y + x^{2}) d x - x y d y

\frac{45 ( n + 1 )}{2 n}

What is expand ((4x-1000)^2)/9 ?
The solution to expand ((4x-1000)^2)/9 is (16x^2)/9-(8000x)/9+1000000/9