what is the product of the binomial (x+4) (x+3)

First multiply the first by the first (x*x=X^2)

second multiply the second by the second (4*3=12)

finally the multiply the first by the second and the second by the first then add them together (X*3) + (4*X) = 7X

the answer is:

X^2+7X+12 = (X+4) (X+3)