Factorize:
8x³+y³+12x²y+6xy²
Answers
Answered by
2
The algebraic expression is given as : 8x³ + y³ + 12x²y + 6xy²
We can rewrite the given expression as :
= (2x)³ + y³ + 3 × 2x × y(2x + y)
In order to factorise the given algebraic expression we use the following Identity - a³ + b³ + 3ab (a + b) = (a + b)³.
Here a = (2x) and b = (y) :
= (2x + y)³
= (2x + y)(2x + y)(2x + y)
Hence, the factorization of an algebraic expression is (2x + y)(2x + y)(2x + y).
HOPE THIS ANSWER WILL HELP YOU…..
Similar questions :
Factorize:
8/27 x³ + 1+ 4/3 x² + 2x
https://brainly.in/question/15901878
Factorise each of the following:
(i) 8a^3 + b^3 + 12a^2b + 6ab^2
(ii) 8a^3 - b^3 - 12a^2b + 6ab^2
(iii) 27 - 125a^3 - 135a + 225a^2
(iv) 64a^3 - 27b^3 - 144a^2b + 108ab^2
(v) 27p^3 - 1/216 - 9p^2/2 + p/4
https://brainly.in/question/1405684
Similar questions