What is (10x^2+19000/3)(10y^2+19000/3) ?

The solution to (10x^2+19000/3)(10y^2+19000/3) is ((30x^2+19000)(30y^2+19000))/9

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simplify (10x^2+19000/3)(10y^2+19000/3)

simplify

(10 x^{2} + \frac{19000}{3}) (10 y^{2} + \frac{19000}{3})

\frac{( 30 x ^{2} + 19000 ) ( 30 y ^{2} + 19000 )}{9}

Solution steps

(10 x^{2} + \frac{19000}{3}) (10 y^{2} + \frac{19000}{3})

Join

10 x^{2} + \frac{19000}{3} : \frac{30 x ^{2} + 19000}{3}

= \frac{30 x ^{2} + 19000}{3} (10 y^{2} + \frac{19000}{3})

Apply the fraction rule:

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

= \frac{( 30 x ^{2} + 19000 ) ( 10 y ^{2} + \frac{19000}{3} )}{3}

Simplify

(30 x^{2} + 19000) (10 y^{2} + \frac{19000}{3}) : \frac{( 30 x ^{2} + 19000 ) ( 30 y ^{2} + 19000 )}{3}

= \frac{\frac{( 30 x ^{2} + 19000 ) ( 30 y ^{2} + 19000 )}{3}}{3}

Apply the fraction rule:

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

= \frac{( 30 x ^{2} + 19000 ) ( 30 y ^{2} + 19000 )}{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{( 30 x ^{2} + 19000 ) ( 30 y ^{2} + 19000 )}{9}

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What is (10x^2+19000/3)(10y^2+19000/3) ?
The solution to (10x^2+19000/3)(10y^2+19000/3) is ((30x^2+19000)(30y^2+19000))/9