Question

how to factorize 36-[xsquare-8x+16

Answer 1

$\textbf{ \blue{ Hello Mate! }}$

$36 - ( {x}^{2} - 8x + 16) \\ \\ 36 - ({x}^{2} - 4x - 4x + 16) \\ \\ 36 - (x(x - 4) - 4(x - 4)) \\ \\ {6}^{2} - ((x - 4)(x - 4)) \\ \\ {6}^{2} - {(x - 4)}^{2} = > {a}^{2} - {b}^{2} \\ = (a + b)(a - b) \\ \\ = > (6 + x - 4)(6 - x + 4)$

$\boxed{ \textsf{ \red{ =(6\:+\:x\:-\:4)(6\:-\:x\:+\:4) }}}$

Have great future ahead!