Çarpanlara Ayırma

Question

$a-\dfrac {3} {a+2}=5$

$\left( a+2\right) ^{2}+\dfrac {9} {\left( a+2\right) ^{2}}=?$

Answer 1

$$a-\frac{3}{a+2}=5$$$$\Rightarrow$$

$$a+2-\frac{3}{a+2}=7$$$$\Rightarrow$$

$$(a+2)^2+\frac{9}{(a+2)^2}-2\cdot 3=49$$

$$\Rightarrow$$

$$(a+2)^2+\frac{9}{(a+2)^2}=55$$