Question

36xsquare + 96 xy + 64 y square factorise the following expression

Answer 1

The answer is :-

$(6x + 8y)(6x + 8y)$


Please refer the above photograph for the used process.


KEY POINTS TO REMEMBER :-

☸️ Some Algebraic identities.
The question asked above involves :

${(x + y)}^{2}$
The identity can be expanded as follows :

${x}^{2} + 2xy + {y}^{2}$

So,


Using this identity, the above question can be solved.


Thanks!

Answer 2

36x^2+64y^2+96xy=

(6x)^2+(8y)^2+2*(8y)*(6x)=

(6x+8y)^2=(6x+8y)(6x+8y)