Question

Which expression is equivalent to (2x + 4)2 – (2x2 + 6)?

2x2 + 16x - 2
2x2 + 16x + 10
4x2 + 16x + 10
4x² + 166- 2

Answer 1

The correct option is B).
`2x^(2)+16x+10`

Explanation:

Given function is
`(2x+4)^(2)-(2x^(2) +6)`

On simplifying,

=
`(2x+4)^(2)-(2x^(2) +6)`

=
`[4x^(2)+16x+16]-(2x^(2) +6)`

=
`4x^(2)+16x+16-2x^(2)-6`

=
`2x^(2)+16x+10`

Thus, The correct option is B).
`2x^(2)+16x+10`