Question

Write the product as a trinomial. (m - 5)(m + 2)

Answer 1

(m−5)m+(m−5)2

(m^2−5m)+(2m−10)

Your answer is: m^2−3m−10

Answer 2

Step One
Use Foil
F(first): m * m =  m^2
O(Outside: m*2 = 2m    These first two ms are the first one in each bracket.
I(Inside):  -5 *m = - 5m
L(last):  -5 * 2 = - 10

Step Two
Add the terms together.
m^2 + 2m - 5m - 10        Collect the like terms. (The middle 2 terms)
m^2 - 3m - 10