Question

please factorise this equation

Answer 1

(iv)

$Given : x^2 + 2 \sqrt{2}x - 6$

$= \ \textgreater \ x^2 - 3 \sqrt{2} x - \sqrt{2} x - 6$

$= \ \textgreater \ x(x + 3 \sqrt{2} ) - \sqrt{2}(x + 3 \sqrt{2})$

$= \ \textgreater \ (x - \sqrt{2})(x + 3 \sqrt{2})$


Hope this helps!

Answer 2

Heya !!!



X² + 2✓2X - 6



We try to split 6 into two parts such that their sum or subtraction will be 2✓2 and Their product will be 6.


Clearly,


3✓2 - ✓2 = 2✓2



And,


3✓2 × ✓2 = 6



So,



X² + 2✓2X + 6



=> X² + 3✓2X - ✓2X + 6



=> X ( X + 3✓2) - ✓2 ( X + 3✓2)




=> ( X + 3✓2) ( X - ✓2)



★ HOPE IT WILL HELP YOU ★