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8 votes
8 votes
Factorise
Please with full method

Factorise Please with full method-example-1
User Kevin Marsden
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2 Answers

15 votes
15 votes

Answer:

Explanation:


Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\

User Vhtc
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3.1k points
11 votes
11 votes


\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}


\\ \sf\longmapsto 64a^3-(b-c)^3


\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)


\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3


\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2

User Ashwani
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2.3k points