Question

What is the answer for 16x2 – 24xy + 9y2 ÷ ( 3y + 4x)?​

Answer 1

Step-by-step explanation:

16x2 can be written as (4x)2

24xy can be written as 2(4x)(3y)

9y2 can be written as (3y)2

⇒ 16x2 + 24xy + 9y2 = (4x)2 + 2(4x)(3y) + (3y)2

Using identity (a + b)2 = a2 + 2ab + b2

Here a = 4x and b = 3y

⇒ 16x2 + 24xy + 9y2 = (4x + 3y)2

Therefore 16x2 + 24xy + 9y2 = (4x + 3y) (4x + 3y)