Question

factorise x^2+400x-16000

Answer 1

$\textbf{Answer :}$

Now,

x² + 400x - 16000

= x² + (2 × x × 200) + 200² - 200² - 16000

= (x + 200)² - 56000

= (x + 200)² - (40√35)²

= (x + 200 + 40√35)
(x + 200 - 40√35),

which is the required factorization.

Identity rule used -
a² - b² = (a + b) (a - b)

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