Question

Expand and simplify if possible
(x+4)(x+7)

Answer 1

To expand, you get x^2 + 11x + 28.

Answer 2

To solve this, utilize a method called FOIL.

FOIL = First, Outer, Inner, Last

First terms:
`\sf{x\cdot x = x^2}`

Outer terms:
`\sf{x\cdot7=7x}`

Inner terms:
`\sf{4\cdot x = 4x}`

Last terms:
`\sf{4\cdot7=28}`

We get:
`\sf{x^2+7x+4x+28}`.

Combine like terms:
`\sf{x^2+11x+28}`

Answer:

x² + 11x + 28.