What is the factorization of 36b^4 – 64? Question What is the factorization of 36b^4 – 64? in progress 0 Math Ayla 4 days 2021-10-10T02:05:24+00:00 2021-10-10T02:05:24+00:00 1 Answer 0

## Answers ( )

Answer:4(3b² + 4)(3b² – 4)

Step-by-step explanation:Given

36 – 64 ← factor out 4 from each term

= 4(9 – 16) ← factor as a difference of squares

a² – b² = (a + b)(a – b), thus

9 – 16

= (3b²)² – 4²

= (3b² + 4)(3b² – 4)

Hence

36 – 64

= 4(3b² + 4)(3b² – 4) ← in factored form