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

Question 35 Factorization of Polynomials Exercise 3B

𝑥^4 +4/𝑥^4

Answer:

𝑥^4 +4/𝑥^4

We can further write it as

= 𝑥^4 +4/𝑥^4 + 4 – 4

It can also be written as

= (𝑥^2)^2 + (2/𝑥^2)^2+ 2 × 𝑥^2 × (2/𝑥^2) − 2^2

= [(𝑥^2)^2 + (2/𝑥^2)^2+ 2 × 𝑥^2 × (2/𝑥^2)] − 2^2

On further simplification

= (𝑥^2 +2/𝑥^2)^2 − 2^2

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

We get,

= (𝑥^2 +2/𝑥^2 + 2) (𝑥^2 +2/𝑥^2 − 2)

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