Question

(4х2 + 12х + 9 )/(2x+3)​

Answer 1

Answer:

The first term is, 4x2 its coefficient is 4 .

The middle term is, -12x its coefficient is -12 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -12 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9

-9 + 4 = -5

-6 + 6 = 0

-4 + 9 = 5

-3 + 12 = 9

-2 + 18 = 16

-1 + 36 = 35

Final result :

(4x2 - 12x - 9) • (2x - 3)

Answer 2

Answer:

(2x+3)

Step-by-step explanation:

(4x) ^2+12x+9/(2x+3)

=[(2x) ^2+2*2x*3+(3)^2] /(2x+3)

=(2x+3)^2/(2x+3)

= (2x+3)