Question

x²-5root2x-12 factorise

Answer 1

Explanation

${x}^{2} - 5 \sqrt{2} x - 12 \\ {x}^{2} - (6 \sqrt{2} - \sqrt{2} )x - 12 \\ {x}^{2} - 6 \sqrt{2} x + \sqrt{2} x - 12 \\ {x}^{2} - 6 \sqrt{2} x + \sqrt{2}x - 6 \sqrt{2} \times \sqrt{2} \\ x( x - 6 \sqrt{2} ) + \sqrt{2} (x - 6 \sqrt{2} ) \\ (x - 6 \sqrt{2} )( x + \sqrt{2} )$