Question

How to factories x2 +2xy - 99y2

Answer 1

Heya !!!

$factorise \: \: {x}^{2} + 2xy - 99 {y}^{2} \\ \\ {x }^{2} + 9xy - 11xy - 99 {y}^{2} \\ \\ x(x + 9y) - 11y(x + 9y) \\ \\ (x + 9y)(x - 11y)$


Hope it helps.

Answer 2

Heya,

Factorise x^2 + 2xy - 99y^2 [Using splitting the middle term]

=> x^2 + 2xy - 99y^2

=> x^2 + 11xy - 9xy - 99y^2

=> x (x + 11y) -9y (x + 11y)

Hence,

The factors are (x - 9y) & (x + 11y)

Hope my answer helps you :)

Regards,
Shobana