Question 595640
First, please put parentheses around multiple term numerators and denominators. I'm guessing that the expression is:
{{{(2p^2+2p)/(10p^2+4p)}}}
The GCF of the numerator is 2p. By chance the GCF of the denominator is also 2p. Factoring out the GCF in both we get:
{{{(2p(p+1))/(2p(5p+2))}}}
Neither the numerator nor the denominator will factor further. So now we cancel out the factors that are common to both the numerator and denominator:
{{{(cross(2p)(p+1))/(cross(2p)(5p+2))}}}
leaving:
{{{(p+1)/(5p+2)}}}