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Factorization of Polynomials | Factorization of Polynomials Exercise 3F

Question 19

8𝑥^2𝑦^3 − 𝑥^5

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8𝑥^2𝑦^3 − 𝑥^5

We can write the given question as,

8𝑥^2𝑦^3 − 𝑥^5 = 𝑥^2(8𝑦^3 − 𝑥^3)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

𝑥2(8𝑦3 − 𝑥3)

= 𝑥2((2𝑦)3 − 𝑥3)

Using the equation

We get,

= 𝑥2[(2𝑦 − 𝑥)((2𝑦)2 + (2𝑦)(𝑥) + 𝑥2)]

= 𝑥2(2𝑦 − 𝑥)(4𝑦2 + 2𝑥𝑦 + 𝑥2)

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Our top 5% students will be awarded a special scholarship to Lido.

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Question 19

8𝑥^2𝑦^3 − 𝑥^5

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

8𝑥^2𝑦^3 − 𝑥^5

We can write the given question as,

8𝑥^2𝑦^3 − 𝑥^5 = 𝑥^2(8𝑦^3 − 𝑥^3)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

𝑥2(8𝑦3 − 𝑥3)

= 𝑥2((2𝑦)3 − 𝑥3)

Using the equation

We get,

= 𝑥2[(2𝑦 − 𝑥)((2𝑦)2 + (2𝑦)(𝑥) + 𝑥2)]

= 𝑥2(2𝑦 − 𝑥)(4𝑦2 + 2𝑥𝑦 + 𝑥2)

Our top 5% students will be awarded a special scholarship to Lido.

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