Factorization of Polynomials | Factorization of Polynomials Exercise 3B

Question

9𝑎^2 + 3𝑎 − 8𝑏 − 64𝑏^2

Accepted Answer

9𝑎^2 + 3𝑎 − 8𝑏 − 64𝑏^2

We can further write it as

= 9𝑎^2 − 64𝑏^2 + 3𝑎 − 8𝑏

So we get

= (3𝑎)^2 − (8𝑏)^2 + (3𝑎 − 8𝑏)

Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)

We get,

= (3a + 8b) (3a – 8b) +(3𝑎 − 8𝑏)

Taking (3a – 8b) as common

= (3a – 8b) (3a + 8b + 1)

Question 32