Question

Please solve this as a middle term factor x2 - 2ax + (a+b) (a-b)

Answer 1

${x}^{2} - 2ax + (a + b)(a - b)$

$= {x}^{2} - 2ax + {a}^{2} - {b}^{2}$

$= ( {x}^{2} - 2 \times x \times a + {a}^{2} ) - {b}^{2}$

$= {(x - a)}^{2} - {(b)}^{2}$

$= (x - a + b)(x - a - b)$