Factorization of Polynomials | Factorization of Polynomials Exercise 3B

Question

𝑎^2 − 𝑏^2 − 4𝑎𝑐 + 4𝑐^2

Accepted Answer

𝑎^2 − 𝑏^2 − 4𝑎𝑐 + 4𝑐^2

We can write it as

= 𝑎^2 − 4𝑎𝑐 + 4𝑐^2 − 𝑏^2

So we get

= 𝑎^2 − 2 × 𝑎 × 2𝑐 + 2𝑐^2 − 𝑏^2

= (𝑎 − 2𝑐)^2 − 𝑏^2

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

We get,

= (a – 2c + b) (a – 2c – b)

Question 25