What is (15x^5-25x^3)/(5x^2) ?

The solution to (15x^5-25x^3)/(5x^2) is x(3x^2-5)

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simplify (15x^5-25x^3)/(5x^2)

simplify

\frac{15 x ^{5} - 25 x ^{3}}{5 x ^{2}}

x (3 x^{2} - 5)

Solution steps

\frac{15 x ^{5} - 25 x ^{3}}{5 x ^{2}}

Factor

15 x^{5} - 25 x^{3} : 5 x^{3} (3 x^{2} - 5)

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

Cancel the common factor:

5

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

Apply exponent rule:

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

x^{3} = x^{2} x

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

Cancel the common factor:

x^{2}

= x (3 x^{2} - 5)

\frac{x ^{2}}{4} - \frac{1}{9}

(6 x^{2} - 4 x + 9) - (- 3 x - 2)

(7 x) - (- 2 x)

\frac{3 + 5}{5 + 4}

1 - a^{4}

What is (15x^5-25x^3)/(5x^2) ?
The solution to (15x^5-25x^3)/(5x^2) is x(3x^2-5)