Simplify the product using FOIL. (2x – 7)(5x 5)

1 answer:

3 0

FOIL is an 'acronym'. It helps you remember how to multiply
two binomials ... like (2x-7) and (5x+5) .

FOIL stands for "First, Outside, Inside, Last". Here's how it's used
to multiply these particular two binomials:

   (2x - 7) (5x + 5)

First: (2x) (5x) = 10x²

Outside: (2x) (5) = 10x

Inside:   (-7) (5x) = -35x

Last: (-7) (5) = -35

Add them all together, and you have the product:

   10x² + 10x -35x -35

Simplify the sum: 10x² - 25x -35

   or 5(x² - 5x - 7) .

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