Question

verify that :
${x}^{2} + {y}^{2} \: = (x + y)( {x}^{2} - xy + {y}^{2} \: )$
​

Answer 1

Correct Question :-

Verify that :

x³ + y³ = (x + y) (x² - xy + y²)

Solution :-

Take R.H.S. :-

=) (x + y) (x² - xy + y²)

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

=) x³ - x²y + xy² + x²y - xy² + y³

=) x³ - x²y + x²y - xy² + xy² + y³

=) x³ + y³ = L.H.S.

L.H.S. = R.H.S.

Hence, x³ + y³ = (x + y) (x² - xy + y²)

Hence, Verified !!

Answer 2

Hey there

refer to attachment