Question

Q.Factorize by splitting the middle term. @.4a²+12a+9​

Answer 1

Answer:

$(2a+3)^{2}$

Step-by-step explanation:

$4a^{2} +12a+9$

We need to find 2 numbers whose product is 9*4 = 36 and sum is 12

The numbers are: 6 , 6

$4a^{2} +12a+9$

$4a^{2} +6a+6a+9$

$2a(2a+3)+3(2a+3)$

$(2a+3)(2a+3)$

$(2a+3)^{2}$

Answer 2

Answer:

4a²+12a+9​

4a²+ 6a + 6a +9​

2a(2a + 3) + 3(2a + 3)

(2a + 3)(2a + 3)