Factorise 2X raise to power 2 plus 6x minus 13?

To factor the expression (2x^2 + 6x - 13), we can look for two numbers that multiply to (2 \times -13 = -26) and add to (6). These numbers are (13) and (-2). Rewriting the expression, we have (2x^2 + 13x - 2x - 13) which can be grouped and factored as ((2x - 1)(x + 13)). Thus, the factorization of the expression is ((2x - 1)(x + 13)).