Q5. Factorise: 125x ^ 3 + 1/(27y ^ 3)
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EXPLANATION.
Factorizes.
⇒ 125x³ + 1/27y³.
As we know that,
⇒ (5x)³ + 1/(3y)³.
As we know that,
Formula of :
⇒ (x³ + y³) = (x + y)(x² - xy + y²).
Using this formula in the equation, we get.
⇒ (5x + 1/3y)[(5x)² - (5x)(1/3y) + (1/3y)²].
⇒ (5x + 1/3y)[25x² - 5x/3y + 1/9y²].
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