Question

U
-0
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ii) Factorize: (x² - 6x)2 -8(x² - 6x +8) - 64​

Answer 1

$( {x}^{2} - 6x)2 - 8( {x}^{2} - 6x + 8) - 64 = 0\\ 2 {x}^{2} - 12x - 8 {x}^{2} + 48x - 64 - 64 = 0\\ - 6 {x}^{2} + 36x - 128 = 0 \\ 3 {x}^{2} - 18x + 64 = 0$

Solving this with the formula

$x = \frac{−b ± \sqrt{ ( {b}^{2}  − 4ac)}}{2a}$

you will get

$x = 3 ±i \sqrt{ \frac{37}{3} }$