What is ((-6(r+4r^2)+9r^2+6r)/(3r))^2 ?

The solution to ((-6(r+4r^2)+9r^2+6r)/(3r))^2 is 25r^2

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simplify ((-6(r+4r^2)+9r^2+6r)/(3r))^2

simplify

(\frac{- 6 ( r + 4 r ^{2} ) + 9 r ^{2} + 6 r}{3 r})^{2}

25 r^{2}

Solution steps

(\frac{- 6 ( r + 4 r ^{2} ) + 9 r ^{2} + 6 r}{3 r})^{2}

Apply exponent rule:

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

= \frac{( - 6 ( r + 4 r ^{2} ) + 9 r ^{2} + 6 r ) ^{2}}{( 3 r ) ^{2}}

Simplify

(- 6 (r + 4 r^{2}) + 9 r^{2} + 6 r)^{2} : 225 r^{4}

= \frac{225 r ^{4}}{( 3 r ) ^{2}}

Simplify

(3 r)^{2} : 9 r^{2}

= \frac{225 r ^{4}}{9 r ^{2}}

Divide the numbers:

\frac{225}{9} = 25

= \frac{25 r ^{4}}{r ^{2}}

Apply exponent rule:

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

\frac{r ^{4}}{r ^{2}} = r^{4 - 2}

= 25 r^{4 - 2}

Subtract the numbers:

4 - 2 = 2

= 25 r^{2}

5 x = 1

(3 - 1)^{3}

I n (x) d x

25 x^{2} y^{2} - 40 x^{2} y + 16 x^{2}

9 y^{2} - 4 x^{2}

What is ((-6(r+4r^2)+9r^2+6r)/(3r))^2 ?
The solution to ((-6(r+4r^2)+9r^2+6r)/(3r))^2 is 25r^2