Multiplying Binomials Using the FOIL Method Lesson Slides

4 Slides • 6 Questions

1

Day 1 - Multiplying Binomials

2

Fill in the Blanks

What property would we use here to simplify this?

3x\left(2x^2-4\right)

Type answer...

3

What if we have

\left(5x-9\right)\left(5x-7\right)

? There are 2 methods

Distribute: $5x\left(5x-7\right)\ \rightarrow\ 25x^2-35x$
Distribute: $-9\left(5x-7\right)\ \rightarrow\ -45x+63$
Can we combine like terms?
$25x^2-80x+63$

4

Multiple Choice

Practice

\left(3x-7\right)\left(4x+2\right)

1

$7x^2+28x-6x+14$

2

$12x^2-22x-14$

3

$12x^2+6x-28x+14$

5

The other method - FOIL

\left(5x-9\right)\left(5x-7\right)

F - First: $\left(5x\right)\left(5x\right)$
O - Outside: $\left(5x\right)\left(-7\right)$
I - Inside: $\left(-9\right)\left(5x\right)$
L - Last: $\left(-9\right)\left(-7\right)$

6

Fill in the Blanks

$\left(3x+4\right)\left(x-6\right)\rightarrow3x^2$

Type answer...

-24

7

Poll

$\left(9x+2y\right)^2$ What do we do here?

$81x^2+4y^2$

$\left(9x+2y\right)\left(9x+2y\right)$ , then FOIL

$\left(11xy\right)^2$

8

Multiple Choice

$\left(5ab-2\right)^2$

Practice:

1

$25ab^2+20ab-4$

2

$25ab-10ab-10ab+4$

3

$25ab^2-20ab+4$

9

Poll

$\left(4m-2\right)\left(4m^2+5mn+3n^2\right)$

Can we FOIL this, or just use the distributive property?

FOIL

Distribute

10

$\left(4m-2\right)\left(4m^2+5mn+3n^2\right)$

$4m\left(4m^2+5mn+3n^2\right)$
$-2\left(4m^2+5mn+3n^2\right)$

Day 1 - Multiplying Binomials

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