class 9 ch 2polynomials questions 9 (2) verify
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Answered by
20
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.
Answered by
3
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).
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