Question

Subtract these polynomials.

Answer 1

2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x²   +6x  +6
Answer D

Answer 2

Answer:  The correct option is

(D) $-2x^2+6x+6.$

Step-by-step explanation:  We are given to subtract the following polynomials :

$P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.

From (i), we get

$P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.$

Thus, the required resulting polynomial is $-2x^2+6x+6.$

Option (D) is CORRECT.