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Exercise

$\frac{25m^2-36n^4}{5m+6n^2}$

Step-by-step Solution

1

Factor the difference of squares $25m^2-36n^4$ as the product of two conjugated binomials

$\frac{\left(5m+6n^{2}\right)\left(5m-6n^{2}\right)}{5m+6n^2}$
2

Simplify the fraction $\frac{\left(5m+6n^{2}\right)\left(5m-6n^{2}\right)}{5m+6n^2}$ by $5m+6n^{2}$

$5m-6n^{2}$

Final answer to the exercise

$5m-6n^{2}$

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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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