Solve (x ^ 2)/(x + 3y) - (9y ^ 2)/(x + 3y) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{x^{2}}{x+3y}-\frac{9y^{2}}{x+3y}$$

Evaluate

$x-3y$

Short Solution Steps

Since $\frac{x^{2}}{x+3y}$ and $\frac{9y^{2}}{x+3y}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{2}-9y^{2}}{x+3y}$$

Factor the expressions that are not already factored in $\frac{x^{2}-9y^{2}}{x+3y}$.

$$\frac{\left(x-3y\right)\left(x+3y\right)}{x+3y}$$

Cancel out $x+3y$ in both numerator and denominator.

$$x-3y$$

Factor

$x-3y$