Giải thích các bước giải:
\(\begin{array}{l}
1.(x - 2)(x + 2) - {(x - 5)^2}\\
= {x^2} - 4 - ({x^2} - 10x + 25)\\
= 10x - 29\\
2.(x + 5)(x - 1) + 2{(x - 1)^2}\\
= (x - 1)(x + 5 + 2(x - 1))\\
= (x - 1)(3x + 3)\\
= 3(x - 1)(x + 1)\\
{x^2} - 5x + 4\\
= {x^2} - x - 4x + 4\\
= x(x - 1) - 4(x - 1)\\
= (x - 1)(x - 4)\\
3.(x + 3)(x - 5) - (4x + 1)(1 - 4x) = 17{x^2}\\
\Rightarrow {x^2} - 2x - 15 - 1 + 16{x^2} = 17{x^2}\\
\Leftrightarrow - 2x - 16 = 0\\
\Leftrightarrow x = - 8
\end{array}\)