Question

# Verify: (i) $$x^3+y^3=(x+y)(x^2-xy+y^2)$$ (ii) $$x^3-y^3=(x-y)(x^2+xy+y^2)$$

Solution

## To verify put $$x=1$$ and $$y=2$$ in given equations, and check wheater LHS and RHS are equal.(i) $$x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})$$LHS: $$x^{3}+y^{3}=$$ $$1^{3}+2^{3}$$ $$=9$$RHS: $$=(x+y)(x^{2}-xy+y^{2})$$ $$=(1+2)(1^{2}-1.2+2^{2})$$ $$=9$$verified(ii) $$x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})$$LHS:$$x^{3}-y^{3}=$$ $$1^{3}-2^{3}$$ $$=-7$$RHS:$$(x-y)(x^{2}+xy+y^{2})$$$$=(1-2)(1^{2}+1.2+2^{2})$$ $$=-7$$It is verified MathematicsRS AgarwalStandard IX

Suggest Corrections

0

Similar questions
View More

Same exercise questions
View More

People also searched for
View More