Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$\sf Simplify \ the \ following:$

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

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

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

$\sf Grouping \ like \ terms:$

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

$\sf 2 {x}^{2} - {x}^{2} = {x}^{2} :$

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

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

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

$\sf 3 - 1 = 2 :$

$\sf \implies {x}^{2} +2$