Question

factor 4y2 + 12y + 5

Answer 1

Answer:

this is the answer

hope this helps you

Answer 2

Answer:

4y2 + 12y + 5.

4(y2 + 3y + 5/4).

Coefficient of y2 is unity. So, we add and subtract square of half of coefficient of y.

4(y2 + 3y + 5/4) = 4 [y2 + 3y + (3/2)2 – (3/2)2 + 5/4] (Adding And Subtracting (3/2)2).

= 4 [(y + 3/2)2 – 12] (Completing The Square).

By using the formula (a2 – b2) = (a+b) (a-b).

= 4 (y + 3/2 + 1) (y + 3/2 – 1).

= 4 (y + 1/2) (y + 5/2) (By Taking LCM).

= 4 [(2y + 1)/2] [(2y + 5)/2].

= (2y + 1) (2y + 5).

Step-by-step explanation:

I HOPE YOU UNDERSTAND NOW.