Question

Rewrite without parentheses and simplify.
(5x+6v)^ 2?

Answer 1

answer: 36v^2 +60vx +25x^2

Answer 2

Expand:

(5x + 6v)² = (5x + 6v)(5x + 6v)

Remember to follow FOIL:

FOIL is the order in which to multiply when multiplying terms with differing variables:

`(5x + 6v)(5x + 6v)`

First:
`(5x)(5x) = 25x^(2)`

Outside:
`(5x)(6v) = 30xv`

Inside:
`(6v)(5x) = 30xv`

Last:
`(6v)(6v) = 36v^(2)`

Combine like terms:

`25x^(2) + 30xv + 30xv + 36v^(2) \\= 25x^(2) + (30xv + 30xv) + 36v^(2)\\= 25x^(2) + 60xv + 36v^(2)`

Remember to order in descending power (if your teacher asks for it):

`25x^(2) + 36v^(2) + 60xv`

~