Question

factorise xsquare+ 2√3x -24​

Answer 1

Solution:

x²+2√3x -24

= x²+2*x*√3+(√3)²-(√3)²-24

=[ x²+2*x*√3+(√3)²]-(√3)²-24

= (x+√3)²-3-24

= (x+√3)²-27

= (x+√3)² - (3√3)²

= (x+√3+3√3)(x+√3-3√3)

= (x+4√3)(x-2√3)

Therefore,

x²+2√3x -24 = (x+4√3)(x-2√3)

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Answer 2

Hey !

Refer the below attachment !

Thanks !