Question

4. Factorise the expression and write it in product form:
$27x cube \: y \: sq$
​

Answer 1

Step-by-step explanation:

Given, 27x

3

+8y

3

=(3x)

3

+(2y)

3

Since, a

3

+b

3

=(a+b)(a

2

+b

2

−ab)

⇒(3x)

3

+(2y)

3

=(3x+2y)[(3x)

2

+(2y)

2

−(3x)(2y)]

=(3x+2y)(9x

2

+4y

2

−6xy)

Option D is correct.

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