Question

Factorise: 8(x+2y)^3+27(2x-y)^3. Please explain with process​

Answer 1

Step-by-step explanation:

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1.7 Factorisation (EMAG)

Factorisation is the opposite process of expanding brackets. For example, expanding brackets would require 2(x+1) to be written as 2x+2. Factorisation would be to start with 2x+2 and end up with 2(x+1).

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The two expressions 2(x+1) and 2x+2 are equivalent; they have the same value for all values of x.

In previous grades, we factorised by taking out a common factor and using difference of squares.

Common factors (EMAH)

Factorising based on common factors relies on there being factors common to all the terms.

For example, 2x−6x2 can be factorised as follows:

2x−6x2=2x(1−3x)

And 2(x−1)−a(x−1) can be factorised as follows: