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RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3B in Chapter 3 - Factorization of Polynomials

Question 21 Factorization of Polynomials Exercise 3B

𝑥^2 + 𝑦^2 − 𝑧^2 − 2𝑥𝑦

Answer:

𝑥^2 + 𝑦^2 − 𝑧^2 − 2𝑥𝑦

We can write it as

= (𝑥^2 + 𝑦^2 − 2𝑥𝑦) − 𝑧^2

So we get

= (𝑥 − 𝑦)^2 − 𝑧^2

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

We get,

= (x – y + z) (x – y – z)

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