Multiply Binomials – FOIL Method

Topics

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 6

1. Question
Expand and simplify.

$(x+2)(y+3)$
- 1. $xy+2x+3y+9$
- 2. $x^2+x+2y+3$
- 3. $xy+6xy+4$
- 4. $xy+3x+2y+6$
Hint

Help Video
Correct

Nice Job!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

$\color{#00880A}{(x)(y)}+\color{#9a00c7}{(x)(3)}+\color{#007DDC}{(2)(y)}+\color{#e65021}{(2)(3)}$

$=$ $xy+3x+2y+6$

$xy+3x+2y+6$
Question 2 of 6

2. Question
Expand and simplify.

$(p+6)(q+4)$
- 1. $pq+4p+6q+24$
- 2. $pq+6p+4q+18$
- 3. $pq+24q+6$
- 4. $pq+2p+3q+6$
Hint

Help Video
Correct

Fantastic!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

$\color{#00880A}{(p)(q)}+\color{#9a00c7}{(p)(4)}+\color{#007DDC}{(6)(q)}+\color{#e65021}{(6)(4)}$

$=$ $pq+4p+6q+24$

$pq+4p+6q+24$

Question 3 of 6

Expand and simplify.

$(5a-6)(b-2)$

1. $5ab-30a+2b-12$
2. $5ab-10a-6b+12$
3. $5ab+7a-6b+8$
4. $5ab+10a+9b-15$

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

		$\color{#00880A}{(5a)(b)}+\color{#9a00c7}{(5a)(-2)}+\color{#007DDC}{(-6)(b)}+\color{#e65021}{(-6)(-2)}$
	$=$	$5ab+(-10a)+(-6b)+12$
	$=$	$5ab-10a-6b+12$

$5ab-10a-6b+12$

Question 4 of 6

Expand and simplify.

$(2m+1)(3n-4)$

1. $12mn+16m-6n+4$
2. $6mn-8m+3n-4$
3. $5mn+4m-3n-4$
4. $6mn-6m+6n+5$

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

		$\color{#00880A}{(2m)(3n)}+\color{#9a00c7}{(2m)(-4)}+\color{#007DDC}{(1)(3n)}+\color{#e65021}{(1)(-4)}$
	$=$	$6mn+(-8m)+3n-4$
	$=$	$6mn-8m+3n-4$

$6mn-8m+3n-4$

Question 5 of 6

Expand and simplify.

$(6v+4)(2u-5)$

1. $12vu+15v-4u+20$
2. $12vu-30v+8u-20$
3. $15vu-20v+4u+20$
4. $6vu-9v-8u+10$

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

		$\color{#00880A}{(6v)(2u)}+\color{#9a00c7}{(6v)(-5)}+\color{#007DDC}{(4)(2u)}+\color{#e65021}{(4)(-5)}$
	$=$	$12vu+(-30v)+8u-20$
	$=$	$12vu-30v+8u-20$

$12vu-30v+8u-20$

Question 6 of 6

6. Question
Expand and simplify.

$(a+2)(a+3)$
- 1. $2a^2+6a+5$
- 2. $2a^2+3a+3$
- 3. $2a+5a+6$
- 4. $a^2+5a+6$
Hint

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

FOIL Method

Use the FOIL Method to expand and simplify the expression.

Multiply the First, Outside, Inside, and Last terms, then simplify.

$\color{#00880A}{(a)(a)}+\color{#9a00c7}{(a)(3)}+\color{#007DDC}{(2)(a)}+\color{#e65021}{(2)(3)}$

$=$ $a^2+3a+2a+6$

$=$ $a^2+5a+6$

$a^2+5a+6$

Multiply Binomials – FOIL Method

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Nice Job!

FOIL Method

2. Question

Hint

Fantastic!

FOIL Method

3. Question

Hint

Keep Going!

FOIL Method

4. Question

Hint

Correct!

FOIL Method

5. Question

Hint

Nice Job!

FOIL Method

6. Question

Hint

Great Work!

FOIL Method

Quizzes

		$\color{#00880A}{(x)(y)}+\color{#9a00c7}{(x)(3)}+\color{#007DDC}{(2)(y)}+\color{#e65021}{(2)(3)}$
	$=$	$xy+3x+2y+6$

		$\color{#00880A}{(p)(q)}+\color{#9a00c7}{(p)(4)}+\color{#007DDC}{(6)(q)}+\color{#e65021}{(6)(4)}$
	$=$	$pq+4p+6q+24$

		$\color{#00880A}{(a)(a)}+\color{#9a00c7}{(a)(3)}+\color{#007DDC}{(2)(a)}+\color{#e65021}{(2)(3)}$
	$=$	$a^2+3a+2a+6$
	$=$	$a^2+5a+6$