Proving the Factors of the Expression (x² - 16x + 63) are (x - 7)(x - 9)
An algebraic identity can be used to factorize it,
= (x + a) (x + b) = [x² + (a + b) x + ab]
= x² - 16x + 63
= x² - 7x - 9x + 63
= Group, (x² - 7x) - (9x - 63)
= Take the greatest common from each of the groups,
= x (x - 7) - 9 (x - 7)
= (x - 7) (x - 9)
Thus, the given statement/question is proved and The factors of the expression (x² - 16x + 63) are indeed (x - 7)(x - 9).