Multiply Binomials – FOIL Method

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Question 1 of 6

1. Question
Expand and simplify.

`(x+2)(y+3)`
- `xy+3x+2y+6`
- `xy+2x+3y+9`
- `x^2+x+2y+3`
- `xy+6xy+4`
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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)`
- `pq+4p+6q+24`
- `pq+6p+4q+18`
- `pq+24q+6`
- `pq+2p+3q+6`
Hint

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Correct

Fantastic!

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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

3. Question
Expand and simplify.

`(5a-6)(b-2)`
- `5ab-10a-6b+12`
- `5ab+7a-6b+8`
- `5ab-30a+2b-12`
- `5ab+10a+9b-15`
Hint

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Correct

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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

4. Question
Expand and simplify.

`(2m+1)(3n-4)`
- `6mn-8m+3n-4`
- `5mn+4m-3n-4`
- `6mn-6m+6n+5`
- `12mn+16m-6n+4`
Hint

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Correct

Correct!

Incorrect

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

5. Question
Expand and simplify.

`(6v+4)(2u-5)`
- `12vu-30v+8u-20`
- `15vu-20v+4u+20`
- `6vu-9v-8u+10`
- `12vu+15v-4u+20`
Hint

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Correct

Nice Job!

Incorrect

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)`
- `a^2+5a+6`
- `2a+5a+6`
- `2a^2+3a+3`
- `2a^2+6a+5`
Hint

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Correct

Great Work!

Incorrect

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

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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`

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

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

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

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