Question

divide x^3-y^3 by (x-y)​

Answer 1

Step-by-step explanation:

(x³ - y³) / (x - y)

(x - y)(x² + xy + y²) / (x - y)

= (x² + xy + y²)

Answer 2

Answer- The above question is from the chapter 'Polynomials'.

Polynomial- It is an algebraic expression involving use of variables and constants.

p(x)- It is used to denote a polynomial. It is read is 'Polynomial in x'.

Concept used: x³ - y³ = (x - y) (x² + xy + y²) which is an algebraic identity.

Given question: Divide x³ - y³ by (x - y).

Solution: (x³ - y³) ÷ (x - y)

Using the algebraic identity, we get,

= (x - y) (x² + xy + y²) ÷ (x - y)

Cancelling (x - y) being common in numerator and denominator, we get,

= x² + xy + y²

∴ Value of (x³ - y³) ÷ (x - y) = x² + xy + y².