What is (2q+(1000)/(q^2))*q ?

The solution to (2q+(1000)/(q^2))*q is (2q^3+1000)/q

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simplify (2q+(1000)/(q^2))*q

simplify

(2 q + \frac{1000}{q ^{2}}) \cdot q

\frac{2 q ^{3} + 1000}{q}

Solution steps

(2 q + \frac{1000}{q ^{2}}) q

Join

2 q + \frac{1000}{q ^{2}} : \frac{2 q ^{3} + 1000}{q ^{2}}

= \frac{2 q ^{3} + 1000}{q ^{2}} q

Apply the fraction rule:

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

= \frac{( 2 q ^{3} + 1000 ) q}{q ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

q^{2} = qq

= \frac{( 2 q ^{3} + 1000 ) q}{qq}

Cancel the common factor:

q

= \frac{2 q ^{3} + 1000}{q}

(e^{2 x} + 1) (e^{x} + 1)

\frac{( 2 x + 1 ) ( x + 4 ) ( x - 3 )}{( x - 2 ) ^{3} ( x + 3 ) ^{3}}

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

(x 3 - y)^{2}

What is (2q+(1000)/(q^2))*q ?
The solution to (2q+(1000)/(q^2))*q is (2q^3+1000)/q