How do you simplify $(3m-5)(4m+9)$ ?

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Answer 1 · 2016-07-10T17:44:34

$12m^2 + 18m - 45$

Multiply out by "FOILing".

FOILing is when your multiply two binomials using a specific order.

F irst
O utside
I nside
L ast

$(a + b)(c + d) = ac + ad + bc + bd$

Now let's FOIL $(3m-5)(4m + 9)$ .

$(3m-5)(4m + 9)$

$(3m)(4m) + (3m)(9) -(5)(4m) - (5)(9)$

$12m^2 + 27m -9m - 45$

$12m^2 + 18m - 45$

How do you simplify (3m-5)(4m+9)(3m-5)(4m+9)?