Question

factorise 1/3x^2 - 8/x​

Answer 1

Step-by-step explanation:

Given Factorise 1/3x^2 - 8/x

• So we need to factorise the given expression.
• So 1/3 x^2 – 8/x
• Taking LCM we get
•  x^3 – 24 / 3x
• 1/3x (x^3 – 24)
• 1/3x (x)^3 – (2 ∛3)^3
• So we have a^3 – b^3 = (a – b) (a^2 + ab + b^2)
•     Substituting the above expression in the formula we get
•         (x)^3 – (2 ∛3)^3 = 1/3 x (x - 2∛3) (x^2 + x. 2∛3 + (2∛3)^2
•                                       = 1/3 x (x - 2∛3) (x^2 + 2x∛3 + 4 (3^2/3)

Reference link will be

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