How do you simplify $\frac{10 x^{5}}{2 x^{3} + 2 x^{2}}$ $(10x^5)/(2x^3+2x^2)$ ?

Question

How do you simplify $\frac{10 x^{5}}{2 x^{3} + 2 x^{2}}$ $(10x^5)/(2x^3+2x^2)$ ?

1 Answer

Impact of this question

2201 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-03T10:00:21

$\frac{5 x^{3}}{x + 1}$ $(5x^3)/(x+1)$

Explanation:

In the denominator, simply it by taking out the greatest common factor in both terms.
This happens to be $2 x^{2}$ $2x^2$ ; both terms have that in common.
The denominator would become $2 x^{2} (x + 1)$ $2x^2(x+1)$ (if you re-distribute this to check, you'll see that you get $2 x^{3} + 2 x^{2}$ $2x^3+2x^2$ )

Now you have $\frac{10 x^{5}}{2 x^{2} (x + 1)}$ $(10x^5)/(2x^2(x+1))$
Dividing powers is just subtracting the numbers, so $\frac{x^{5}}{x^{2}} = x^{5 - 2} = x^{3}$ $x^5/x^2=x^(5-2)=x^3$ , and $\frac{10}{2} = 5$ $10/2=5$

You're left with $5 x^{3} \times \frac{1}{x + 1} = \frac{5 x^{3}}{x + 1}$ $5x^3xx1/(x+1)=(5x^3)/(x+1)$ which cannot be simplified further.

Science

Math

Humanities

... and beyond

How do you simplify $\frac{10 x^{5}}{2 x^{3} + 2 x^{2}}$ $(10x^5)/(2x^3+2x^2)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 10x52x3+2x2(10x^5)/(2x^3+2x^2)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{10 x^{5}}{2 x^{3} + 2 x^{2}}$ $(10x^5)/(2x^3+2x^2)$ ?