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Question
Factorise:
8x3 + 27y3 + 10x + 15y
Sum
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Solution
Given expression: 8x3 + 27y3 + 10x + 15y
⇒ (8x3 + 27y3) + 5(2x + 3y)
⇒ (2x3 + 3y3) + 5(2x + 3y)
We know that,
a3 + b3 = (a + b) (a2 – ab + b2)
Hence,
⇒ (2x + 3y) (4x2 – 6xy + 9y2) + 5(2x + 3y)
⇒ (2x + 3y) (4x2 – 6xy + 9y2 + 5)
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