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

(m-5) m + (m-5) 2

(m^2 - 5m) + (2m-10)

Your answer is: m^2 - 3m - 10