Question

class 9 ch 2polynomials questions 9 (2) verify​

Answer 1

Step-by-step explanation:

Let LHS = x³ - y³

and Let RHS = (x-y) (x²+xy+y²)

Solving, RHS, we get,

x(x²+xy+y²) - y(x²+xy+y²)

x³ + x²y + xy² - x²y - xy² - y³

x³ + x²y - x²y + xy² - xy² - y³

x³ + 0 + 0 - y³

x³ - y³

Hence, verified.

Answer 2

x³-y³= (x-y) (x²+xy+y²)

RHS= x(x²+xy+y²) -y(x²+xy+y²)

x³-y³= x³+x²y+xy²-yx²-xy²-y³

x³-y³= x³+x²y-yx²+xy²-xy²-y³

After canceling,

x³-y³= x³-y³

Hence verified that x³-y³= (x-y)(x²+xy+y²).