What is (5x^3+10x^2-25x)/(10x^2) ?

The solution to (5x^3+10x^2-25x)/(10x^2) is (x^2+2x-5)/(2x)

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simplify (5x^3+10x^2-25x)/(10x^2)

simplify

\frac{5 x ^{3} + 10 x ^{2} - 25 x}{10 x ^{2}}

\frac{x ^{2} + 2 x - 5}{2 x}

Solution steps

\frac{5 x ^{3} + 10 x ^{2} - 25 x}{10 x ^{2}}

Factor

5 x^{3} + 10 x^{2} - 25 x : 5 x (x^{2} + 2 x - 5)

= \frac{5 x ( x ^{2} + 2 x - 5 )}{10 x ^{2}}

Factor the number:

10 = 5 \cdot 2

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

Cancel the common factor:

5

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

= \frac{x ^{2} + 2 x - 5}{2 x}

3 \frac{1}{2} \cdot 4

(x^{3} y^{5})^{4}

\frac{x ^{2}}{64} + \frac{y ^{2}}{9}

\frac{x}{x - 1} - \frac{x}{x + 1}

(a - 1)^{4}

What is (5x^3+10x^2-25x)/(10x^2) ?
The solution to (5x^3+10x^2-25x)/(10x^2) is (x^2+2x-5)/(2x)