\frac{785\times 785\times 785+ 435\times 435\times435}{ 785 \times785- 785\times 435+ 435 \times435}=?

Simplification Test 9

Question : 33 of 38

Marks: +1, -0

{785× 785× 785+ 435× 435×435}/{ 785 ×785- 785× 435+ 435 ×435}=?

Solution:

{x^3+y^3}/{x^2-xy+y^2}

={(x+y)(x^2-xy+y^2)}/{(x^2-xy+y^2)}

=x+y

(where x = 785; y = 435)
Now,

x + y = 785 + 435

= 1220

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