What is expand (10(pi^3+25(pi^2+6)))/(pi^3) ?

The solution to expand (10(pi^3+25(pi^2+6)))/(pi^3) is 10+(250)/pi+(1500)/(pi^3)

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expand (10(pi^3+25(pi^2+6)))/(pi^3)

expand

\frac{10 ( π ^{3} + 25 ( π ^{2} + 6 ) )}{π ^{3}}

10 + \frac{250}{π} + \frac{1500}{π ^{3}}

Decimal Notation

137.95477 \dots

Solution steps

\frac{10 ( π ^{3} + 25 ( π ^{2} + 6 ) )}{π ^{3}}

Expand

π^{3} + 25 (π^{2} + 6) : π^{3} + 25 π^{2} + 150

= \frac{10 ( π ^{3} + 25 π ^{2} + 150 )}{π ^{3}}

Expand

10 (π^{3} + 25 π^{2} + 150) : 10 π^{3} + 250 π^{2} + 1500

= \frac{10 π ^{3} + 250 π ^{2} + 1500}{π ^{3}}

Apply the fraction rule:

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

\frac{10 π ^{3} + 250 π ^{2} + 1500}{π ^{3}} = \frac{10 π ^{3}}{π ^{3}} + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

= \frac{10 π ^{3}}{π ^{3}} + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

Cancel

\frac{10 π ^{3}}{π ^{3}} : 10

= 10 + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

Cancel

\frac{250 π ^{2}}{π ^{3}} : \frac{250}{π}

= 10 + \frac{250}{π} + \frac{1500}{π ^{3}}

(e^{y} - x)^{2}

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

o p u es t a (- i + 3 k)

- 52 \cdot (x - 22)

7 (3 + 10)

What is expand (10(pi^3+25(pi^2+6)))/(pi^3) ?
The solution to expand (10(pi^3+25(pi^2+6)))/(pi^3) is 10+(250)/pi+(1500)/(pi^3)