Question

x^2-2√2x-30 . factorize.

Answer 1

$\textbf{Answer :}$

Now,

x² - 2√2 x + 30

= x² - 2√2 x + (√2)² + 30 - (√2)²

= (x - √2)² + 30 - 2,

using the identity
(a - b)² = a² - 2ab + b²

= (x - √2)² - 28

= (x - √2)² - (2√7)²

= (x - √2 + 2√7) (x - √2 - 2√7),

using the identity
a² -b² = (a + b) (a - b)

This is the required factorization.

#$\textbf{MarkAsBrainliest}$

Answer 2

or by using middle term splitting method we get x= 5√2 and -3√2
hope this helps you....