Question 145986
What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4
:
write it
{{{x/((x-2))}}}
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{{{4/((x^2-4))}}}
:
Invert the dividing fraction and multiply:
{{{x/((x-2))}}} * {{{((x^2-4))/4}}}
You should recognize (x^2-4) as the difference of squares that can be factored:
{{{x/((x-2))}}} * {{{((x-2)(x+2))/4}}}
Factor out (x-2)'s
x * {{{((x+2))/4}}} = {{{(x(x+2))/4}}}