Factories: 16a2 – 144 – InterviewSolution

1.	Factories: 16a2 – 144
Answer» We have, 16a² – 144 = (4a)² – (12)² By using the formula a² – b² = (a + b)(a – b) We get, 16a² – 144 = (4a)² – (12)² = (4a + 12)(4a – 12) = 4(a + 3) 4(a – 3) = 16(a + 3)(a – 3) 16a² -144 can be written as (4a)² – (12)² By using the formula a² – b² = (a+b) (a-b) Now solving for the above equation (4a)² – (12)²= (4a+12) (4a-12) = 4(a+3) 4(a-3) = 16(a+3) (a-3)

Factories: 16a2 – 144

Answer»

We have,

16a² – 144

= (4a)² – (12)²

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

We get,

16a² – 144 = (4a)² – (12)²

= (4a + 12)(4a – 12)

= 4(a + 3) 4(a – 3)

= 16(a + 3)(a – 3)

16a² -144 can be written as (4a)² – (12)²

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

Now solving for the above equation

(4a)² – (12)²= (4a+12) (4a-12)

= 4(a+3) 4(a-3)

= 16(a+3) (a-3)