Factorize:
x³+8y³+6x²y+12xy²
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Answer:
(x+2y)^3
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The algebraic expression is given as : x³ + 8y³ + 6x²y + 12xy²
We can rewrite the given expression as :
= (x)³ + (2y)³ + 3 × x × 2y(x + 2y)
In order to factorise the given algebraic expression we use the following Identity - a³ + b³ + 3ab (a + b) = (a + b)³.
Here a = (x) and b = (2y) :
= (x + 2y)³
= (x + 2y)(x + 2y)(x + 2y)
Hence, the factorization of an algebraic expression is (x + 2y)(x + 2y)(x + 2y).
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