Factorize:
8/27 x³ + 1+ 4/3 x² + 2x
Answers
The algebraic expression is given as : 8/27 x³ + 1 + 4/3 x² + 2x
We can rewrite the given expression as :
= (2/3x)³ + 1³ + 3 × (⅔x) × 1 (2/3x + 1)
In order to factorise the given algebraic expression we use the following Identity - a³ + b³ + 3ab (a + b) = (a + b)³.
Here a = (2/3x) and b = (1) :
= (2/3x + 1)³
= (2/3x + 1) (2/3x + 1) (2/3x + 1)
Hence, the factorization of an algebraic expression is (2/3x + 1) (2/3x + 1) (2/3x + 1).
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Answer:
- a³ + b³ + 3ab (a + b) = (a + b)³.
Here a = (2/3x) and b = (1) :
= (2/3x + 1)³
= (2/3x + 1) (2/3x + 1) (2/3x + 1)
Hence, the factorization of an algebraic
expression is (2/3x + 1) (2/3x + 1) (2/3x + 1).