Question

5. Factorise: (1) 8xcube y cube+27 z cube
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Answer 1

Step-by-step explanation:

8x^3y^3+27z^3

(2xy)^3 + (3z)^3

a^3+b^3 = (a+b)(a^2+ab+b^2)

Here, a = 2xy

b = 3z

(2xy)^3+(3z)^3 = (2xy+3z)((2xy)^2+(2xy)(3z)+ (3z)^2)

= (2xy+3z)(4x^2y^2+6xyz+9z^2).

Hope it helps you..