FOIL Method

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Question 1 of 5

1. Question
Expand and simplify.

`(p+6)(p-4)`
- `p^2+2p-24`
- `p^2+6p-24`
- `p^2+4p+6`
- `p^2-4p-6`
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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.

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

`=` `p^2+(-4p)+6p-24`

`=` `p^2+(-4p+6p)-24` Collect like terms

`=` `p^2+2p-24`

`p^2+2p-24`
Question 2 of 5

2. Question
Expand and simplify.

`(u-7)(u+2)`
- `u^2-5u-14`
- `u^2-7u-14`
- `u^2+3u-12`
- `u^2-7u+5`
Hint

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Well Done!

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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.

$$\color{#00880A}{(u)(u)}+\color{#9a00c7}{(u)(2)}+\color{#007DDC}{(-7)(u)}+\color{#e65021}{(-7)(2)}$$

`=` `u^2+2u+(-7u)-14`

`=` `u^2+(2u-7u)-14` Collect like terms

`=` `u^2-5u-14`

`u^2-5u-14`

Question 3 of 5

Expand and simplify.

`(n-5)(n-6)`

`n^2-11n+30`
`n^2-n+11`
`n^2+n+1`
`n^2-n-30`

Question 4 of 5

Expand and simplify.

`(x-1)(x-12)`

`x^2-13x+12`
`x^2+11x+12`
`x^2+13x-11`
`x^2+12x+12`

Question 5 of 5

5. Question
Expand and simplify.

`(2x+4)(x+2)`
- `2x^2+8x+8`
- `2x^2-8x+6`
- `2x^2-8`
- `2x^2-4x-6`
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.

$$\color{#00880A}{(2x)(x)}+\color{#9a00c7}{(2x)(2)}+\color{#007DDC}{(4)(x)}+\color{#e65021}{(4)(2)}$$

`=` `2x^2+4x+4x+8`

`=` `2x^2+(4x+4x)+8` Collect like terms

`=` `2x^2+8x+8`

`2x^2+8x+8`

FOIL Method – Same First Variable 1

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Quiz summary

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1. Question

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Fantastic!

2. Question

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Well Done!

FOIL Method

3. Question

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Nice Job!

FOIL Method

4. Question

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Keep Going!

FOIL Method

5. Question

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Correct!

FOIL Method

Quizzes

	$$\color{#00880A}{(p)(p)}+\color{#9a00c7}{(p)(-4)}+\color{#007DDC}{(6)(p)}+\color{#e65021}{(6)(-4)}$$
`=`	`p^2+(-4p)+6p-24`
`=`	`p^2+(-4p+6p)-24`	Collect like terms
`=`	`p^2+2p-24`

	$$\color{#00880A}{(u)(u)}+\color{#9a00c7}{(u)(2)}+\color{#007DDC}{(-7)(u)}+\color{#e65021}{(-7)(2)}$$
`=`	`u^2+2u+(-7u)-14`
`=`	`u^2+(2u-7u)-14`	Collect like terms
`=`	`u^2-5u-14`

	$$\color{#00880A}{(n)(n)}+\color{#9a00c7}{(n)(-6)}+\color{#007DDC}{(-5)(n)}+\color{#e65021}{(-5)(-6)}$$
`=`	`n^2+(-6n)+(-5n)+30`
`=`	`n^2+(-6n-5n)+30`	Collect like terms
`=`	`n^2-11n+30`

	$$\color{#00880A}{(x)(x)}+\color{#9a00c7}{(x)(-12)}+\color{#007DDC}{(-1)(x)}+\color{#e65021}{(-1)(-12)}$$
`=`	`x^2+(-12x)+(-x)+12`
`=`	`x^2+(-12x-x)+12`	Collect like terms
`=`	`x^2-13x+12`

	$$\color{#00880A}{(2x)(x)}+\color{#9a00c7}{(2x)(2)}+\color{#007DDC}{(4)(x)}+\color{#e65021}{(4)(2)}$$
`=`	`2x^2+4x+4x+8`
`=`	`2x^2+(4x+4x)+8`	Collect like terms
`=`	`2x^2+8x+8`