Question

Factorize 4x²+12x+9(with explanation and using method)
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Answer 1

Answer:

Step-by-step explanation:

4x 2 + 12x + 9 is a perfect square trinomial. 4x 2 + 12x + 9 = (2x) 2 + 2(2x)(3) + (3) 2 Write as a2 + 2ab + b2 .

Answer 2

Answer & Step-by-step explanation:

4x²+12x+9         4 x 9 = 36

Find the factors of 36, and the addition of those factors should add upto 1. ( the middle number)

6 x 6 = 36 and addition of the 2 numbers give 12

therefore

(4x + 6)(x + 6/4)  ~ (4x + 6) (x + 3/2)//  

Verification

(4x + 6) (x + 3/2)

4x²+12x+9 //

Final answer = (4x + 6) (x + 3/2)