Question

verify x³+y³=(x+y)(x²-xy+y²)

Answer 1

Answer:

Step-by-step explanation:

you have to simplify it

(x+y) (x2-xy+y2)

x3-x2y+xy2+x2y-xy2+y3

-x2y+x2y-xy2+xy2=0

x3+y3+0

x3+y3

hence verified!!!

Answer 2

$\huge\mathfrak{Solution}$

Hey there !

We have to prove that x³ - y³ = (x-y)(x² + xy + y²)

So, Let's take R. H. S and prove it equal to L.H. S.

R. H. S

= (x-y)(x² + xy + y²)

= x ( x² + xy + y² ) - y ( x² + xy + y²)

= x³ + x²y + xy² -yx² -xy² - y³

= x^3 + \cancel{ x^2 y } + \cancel{ x y^2 } - \cancel{ x^2 y } - \cancel{ x y^2 } -y^3

= x³ - y³

= L. H. S.

Hence : LHS = RHS