Question

x squared minus root 3 x minus 6

Answer 1

${x}^{2} - \sqrt{3} x - 6 \\ \\ = {x}^{2} - 2 \sqrt{3} x + \sqrt{3} x - 6 \\ \\ = x(x - 2 \sqrt{3} ) + \sqrt{3} (x - 2 \sqrt{3} ) \\ \\ = (x - 2 \sqrt{3} )(x + \sqrt{3} )$

Answer 2

${x}^{2} - \sqrt{3} x - 6 \\ \\ = > {x}^{2} - (2 \sqrt{3} - \sqrt{ 3 } )x - 6 \\ \\ = > {x}^{2} - 2 \sqrt{3} x + \sqrt{3} x - 6 \\ \\ = > x(x - 2 \sqrt{3} ) + \sqrt{3} (x -2 \sqrt{3} ) \\ \\ = > (x - 2 \sqrt{3} )( x + \sqrt{3} )$