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Popular >

simplify (p+2/q-3/r)^3

Solution

simplify

(p + \frac{2}{q} - \frac{3}{r})^{3}

Solution

\frac{( pq r + 2 r - 3 q ) ^{3}}{q ^{3} r ^{3}}

Solution steps

(p + \frac{2}{q} - \frac{3}{r})^{3}

Join

p + \frac{2}{q} - \frac{3}{r} : \frac{pq r + 2 r - 3 q}{q r}

= (\frac{pq r + 2 r - 3 q}{q r})^{3}

Apply exponent rule:

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

= \frac{( pq r + 2 r - 3 q ) ^{3}}{( q r ) ^{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(q r)^{3} = q^{3} r^{3}

= \frac{( pq r + 2 r - 3 q ) ^{3}}{q ^{3} r ^{3}}

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Frequently Asked Questions (FAQ)

What is (p+2/q-3/r)^3 ?
The solution to (p+2/q-3/r)^3 is ((pqr+2r-3q)^3)/(q^3r^3)