Factorise the following polynomials (n-10)^2+(10-n)
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Answer:
(n - 10)² + (10 - n)
= (n - 10)(n - 10) - (n - 10)
= (n - 10)(n - 10 - 1)
= (n - 10)(n - 11)
VERIFICATION-
(n - 10)² + (10 - n)
= n² + 100 - 20n + 10 - n
= n² + 110 - 21n
= n² - 21n + 110
= n² - 10n - 11n + 110
= n(n - 10) - 11(n - 10)
=(n - 10)(n - 11)
Hence, proved.
Hope it helps you....
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