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Exercise

$\frac{5^2-n^2}{5+n}$

Step-by-step Solution

1

Calculate the power $5^2$

$\frac{25-n^2}{5+n}$
2

Factor the difference of squares $25-n^2$ as the product of two conjugated binomials

$\frac{\left(5+n\right)\left(5-n\right)}{5+n}$
3

Simplify the fraction $\frac{\left(5+n\right)\left(5-n\right)}{5+n}$ by $5+n$

$5-n$

Final answer to the exercise

$5-n$

Try other ways to solve this exercise

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Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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