(3x)/(2x+2y)+ (4)/(x^(2)-y^(2))

asked by guest
on Nov 15, 2024 at 11:21 pm



You asked:

Evaluate the expression: \(\frac{3 x}{2 x + 2 y} + \frac{4}{{x}^{2} - {y}^{2}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{3 x}{2 x + 2 y} + \frac{4}{{x}^{2} - {y}^{2}} = \frac{3 x}{2 x + 2 y} + \frac{4}{x^{2} - y^{2}} \)

Expanded

\[\frac{3 x}{2 x + 2 y} + \frac{4}{{x}^{2} - {y}^{2}} = \frac{3 x}{2 x + 2 y} + \frac{4}{x^{2} - y^{2}}\]

Factored

\[\frac{3 x}{2 x + 2 y} + \frac{4}{{x}^{2} - {y}^{2}} = \frac{3 x^{2} - 3 x y + 8}{2 \left(x - y\right) \left(x + y\right)}\]

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