Question 299930
2x^2+7x+5 divided by the square root of 4x^2+20x+25?
:
{{{((2s^2+7x+5))/(sqrt(4s^2+20x+25))}}}
You should recognize the expression inside the square root as perfect square
this makes it pretty eas
{{{((2s^2+7x+5))/(sqrt((2s+5)(2s+5)))}}}
therefore we have:
{{{((2s^2+7x+5))/((2s+5))}}}
Factor the numerator, cancel the denominator and you have:
{{{((2s+5)(s+1))/((2s+5))}}} = s + 1