Question

6. Simplify (x2 + xy + y2)(x - y) and verify the result for x =4, y = -3​

Answer 1

Answer:

(x2+xy+y2)(x−y)

=(x2+xy+y2)(x+−y)

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

=x3−x2y+x2y−xy2+xy2−y3

=x3−y3

Verification -

(x2+xy+y2)(x−y)

Evaluate for x=4,y=−3

(42+(4)(−3)+(−3)2)(4−(−3))

=91