\( m x^{2}-12+3 x^{2}-4 m \) facturise fully

To factor the expression \( m x^{2}-12+3 x^{2}-4 m \), first, combine like terms. The expression simplifies to \( (m + 3)x^{2} - 4m - 12 \). Next, observe that \( -4m - 12 \) can be factored as \(-4(m + 3)\). Thus, we have: \[ (m + 3)x^{2} - 4(m + 3) \] Now, factor out the common term \( (m + 3) \): \[ (m + 3)(x^{2} - 4) \] Recognize that \( x^{2} - 4 \) is a difference of squares, which factors further: \[ (m + 3)(x - 2)(x + 2) \] So, the fully factored form is: \[ (m + 3)(x - 2)(x + 2) \] And there you have it! Happy factoring!