preprekomW

2021-09-16

Solve the equation.

$\frac{7}{{y}^{2}-4}-\frac{4}{y+2}=\frac{5}{y-2}$

SchepperJ

Skilled2021-09-17Added 96 answers

Step 1

We have to solve the equation:

$\frac{7}{{y}^{2}-4}-\frac{4}{y+2}=\frac{5}{y-2}$

Rewriting the equation,

$\frac{7}{{y}^{2}-{2}^{2}}-\frac{4}{y+2}=\frac{5}{y-2}$

$\frac{7}{(y-2)(y+2)}-\frac{4}{y+2}=\frac{5}{y-2}$ (since ${a}^{2}-{b}^{2}=(a-b)(a+b)$ )

We know for any rational function denominator cant

We have to solve the equation:

Rewriting the equation,

We know for any rational function denominator cant

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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