FOIL Method

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Question 3 of 4

Expand and simplify.

`(6+4f)(3-f)`

Question 4 of 4

Expand and simplify.

`(5-6t)(6-10t)`

FOIL Method – Same First Variable 2

	$$\color{#00880A}{(3f)(f)}+\color{#9a00c7}{(3f)(5)}+\color{#007DDC}{(-1)(f)}+\color{#e65021}{(-1)(5)}$$
`=`	`3f^2+15f-f-5`
`=`	`3f^2+(15f-f)-5`	Collect like terms
`=`	`3f^2+14f-5`

	$$\color{#00880A}{(4t)(3t)}+\color{#9a00c7}{(4t)(1)}+\color{#007DDC}{(3)(3t)}+\color{#e65021}{(3)(1)}$$
`=`	`12t^2+4t+9t+3`
`=`	`12t^2+(4t+9t)+3`	Collect like terms
`=`	`12t^2+13t+3`

	$$\color{#00880A}{(6)(3)}+\color{#9a00c7}{(6)(-f)}+\color{#007DDC}{(4f)(3)}+\color{#e65021}{(4f)(-f)}$$
`=`	`18-6f+12f-4f^2`
`=`	`18` `-6f+12f` `-4f^2`	Collect like terms
`=`	`18+6f-4f^2`

	$$\color{#00880A}{(5)(6)}+\color{#9a00c7}{(5)(-10t)}+\color{#007DDC}{(-6t)(6)}+\color{#e65021}{(-6t)(-10t)}$$
`=`	`30-50t-36t+60t^2`
`=`	`30` `-50t-36t` `+60t^2`	Collect like terms
`=`	`30-86t+60t^2`