Question

factorise x³+6x²y+12xy²+7y³​

Answer 1

Answer:

$(x+2y)^3$

Step-by-step explanation:

Firstly, the expression should be $x^3+6x^2y+12xy^2+8y^3$ (a small correction :-) ))

So you can write this expression as $(x)^3+3(x)^2(2y)+3(x)(2y)^2+(2y)^3$

and you can easily identify that it is inform of $(a)^3+3(a)^2(b)+3(a)(b)^2+(b)^3$

and it is equal to $(a+b)^3$

So, the factorized form = $(x+2y)^3$

Hope you got it!!

Please mark it as brainiest :-))