Question

(2x2 + 2x + 3) - (x2 + 2x + 1) =

O A. x2 + 4
O B. x2 + 4x + 2
O C. x2 + 4x + 4
O D. x2 + 2

Answer 1

`\boxed{\sf D. \ x^2 + 2}`

Explanation:

`\sf Simplify \ the \ following:`

`\sf \implies (2 {x}^(2) + 2x + 3) - ( {x}^(2) + 2x + 1)`

`\sf - ( {x}^(2) + 2x + 1) = - {x}^(2) - 2x - 1 :`

`\sf \implies (2 {x}^(2) + 2x + 3) - {x}^(2) - 2x - 1`

`\sf Grouping \ like \ terms:`

`\sf \implies (2 {x}^(2) - {x}^(2)) + (2x - 2x)+ (3 - 1)`

`\sf 2 {x}^(2) - {x}^(2) = {x}^(2) :`

`\sf \implies {x}^(2) + (2x - 2x)+ (3 - 1)`

`\sf 2x - 2x = 0 :`

`\sf \implies {x}^(2) + 0+ (3 - 1)`

`\sf 3 - 1 = 2 :`

`\sf \implies {x}^(2) +2`