Factorization of Polynomials | Factorization of Polynomials Exercise 3A

Question

𝒂^𝟑𝒃 − 𝒂^𝟐𝒃 + 5ab – 5b

Accepted Answer

𝑎^3𝑏 − 𝑎^2𝑏 + 5ab – 5b

By taking 𝑎^2𝑏 common in the first term and 5b as common in the second term

= 𝑎^2𝑏(𝑎 − 1) + 5𝑏(𝑎 − 1)

So we get,

= (a – 1) (𝑎^2𝑏 + 5b)

By taking b as common

= (a – 1) b (𝑎^2 + 5)

So we get,

= b (a – 1) (𝑎^2 + 5)

Question 12