How do you multiply #(3x – 7)(5x + 6)#?

2 Answers
Jun 2, 2018

Answer:

Multiplying this out gives us #15x^2-17x-42#

Explanation:

So let start by rewriting this thing out again.

#(3x-7)(5x+6)#

So we need to use the FOIL method to see what this will give us.

#15x^2+18x-35x-42#

So once you are finish using the FOIL method, combine the like terms. The final answer to this is:

#15x^2-17x-42#

Jun 2, 2018

Answer:

#15x^2 - 17x - 42#

Explanation:

To multiply the two binomials #(3x-7)(5x+6)#

We use the mnemonic FOIL

F - First terms #(3x)(5x)=15x^2#
O - Outer terms #(3x)(6) = 18x#
I - Inner terms #(-7)(5x) = -35x#
L - Last terms #(-7)(6) = -42#

Now combine the terms

#15x^2 + 18x - 35x - 42#

Add like terms

#15x^2 - 17x - 42#