Question

factorize x^2+2√3x-9

Answer 1

x2 +2√3x - 9

x2+3√3x - √3x -9

x(x+3√3)-√3(x+3√3)

(x-√3)(x+3√3)

Answer 2

${x}^{2} + 2 \sqrt{3} x - 9 \\ = {x }^{2} + 3 \sqrt{3} x - \sqrt{3} x - 9 \\ = x(x +3 \sqrt{3} ) - \sqrt{3} (x + 3 \sqrt{3} ) \\ = (x + 3 \sqrt{3} )(x - \sqrt{3} )$