What is (3x^2y^3-5a^2x^4)/(-3x^2) ?

The solution to (3x^2y^3-5a^2x^4)/(-3x^2) is -(3y^3-5a^2x^2)/3

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simplify (3x^2y^3-5a^2x^4)/(-3x^2)

simplify

\frac{3 x ^{2} y ^{3} - 5 a ^{2} x ^{4}}{- 3 x ^{2}}

- \frac{3 y ^{3} - 5 a ^{2} x ^{2}}{3}

Solution steps

\frac{3 x ^{2} y ^{3} - 5 a ^{2} x ^{4}}{- 3 x ^{2}}

Factor out common term

x^{2} : x^{2} (3 y^{3} - 5 a^{2} x^{2})

= \frac{x ^{2} ( 3 y ^{3} - 5 a ^{2} x ^{2} )}{- 3 x ^{2}}

Cancel the common factor:

x^{2}

= \frac{3 y ^{3} - 5 a ^{2} x ^{2}}{- 3}

Apply the fraction rule:

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

= - \frac{3 y ^{3} - 5 a ^{2} x ^{2}}{3}

x^{3} - 3 x^{2} - 25 x + 75

9 x^{4} - 36 x^{3} + 26 x^{2} + 4 x - 3

75 n^{2}

5 x^{2} + 20

0. 1^{2}

What is (3x^2y^3-5a^2x^4)/(-3x^2) ?
The solution to (3x^2y^3-5a^2x^4)/(-3x^2) is -(3y^3-5a^2x^2)/3