Question

x\(^2\)(x – 3) = 4(x – 3)

Answer 1

\(x^2\left(x-3\right)=4\left(x-3\right)\)

\(\Leftrightarrow x^3-3x^2=4x-12\)

\(\Leftrightarrow x^3-3x^2-4x-12=0\)

\(\Leftrightarrow\left(x+2\right)\left(x-2\right)\left(x-3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+2=0\\x-2=0\\x-3=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=2\\x=3\end{matrix}\right.\)

Answer 2

`x^2(x-3) - 4(x-3) = 0`

`=> (x^2  - 4)(x-3) = 0`

`=> (x-2)(x+2)(x-3) = 0`.

`=>` \(\left[ \begin{array}{l}x+2=0\\x-2=0\\x-3 =0 \end{array} \right.\) 

`=>` \(\left[ \begin{array}{l}x=-2\\x=2\\x =3 \end{array} \right.\)