[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:(x - 1)(x + 3) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + 2x - 3[/tex]
[tex] = {x}^{2} + 3x - x - 3[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = x(x + 3) - 1(x + 3)[/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = (x - 1)(x + 3)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]