Question

find the solution with step by step . divide using factorisation​

Answer 1

Answer:

$\frac{x+6}{2}$

Step-by-step explanation:

       $\frac{1}{2} x= \frac{x}{2}$

$\frac{\frac{1}{4}x^2-\frac{1}{2}x-12}{\frac{x}{2}-4}$

        $\frac{1}{4}x^{2} =\frac{x^{2} }{4}$

$\frac{\frac{x^2}{4}-\frac{x}{2}-12}{\frac{x}{2}-4}$

$Join :\frac{x}{2}-4:\frac{x-8}{2}$

$\frac{\frac{x^2}{4}-\frac{x}{2}-12}{\frac{x-8}{2}}$

$Join:\frac{x^{2} }{4}-\frac{x}{2}-12:\frac{(x+6)(x-8)}{4}$

$\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$

$\frac{\frac{\left(x+6\right)\left(x-8\right)}{4}}{\frac{x-8}{2}}$

$\mathrm{Cancel\:the\:common\:factor:}\:x-8$

$\frac{\left(x+6\right)\left(x-8\right)\cdot \:2}{4\left(x-8\right)}$

$\mathrm{Cancel\:the\:common\:factor:}\:2$

$\frac{x+6}{2}$

I hope this is what you wanted: