The distributive property can be applied to which expression [tex]\rm 12x^{3}-9x^{2} +4x-3[/tex] the given factors are [tex]\rm = (3x^{2}+1)(4x-3)[/tex]
To factorise a cubic equation we will be finding one factor we will solve by factor theorem to check that the guess is the root. Then we will divide the cubic equation by factor to obtain a quadratic equation. on getting the quadratic equation we will be applying the various standard methods to factorise further the quadratic equation.
On factorizing we get,
[tex]=\rm 12x^{3}-9x^{2} +4x-3\\\\=\rm 3x^{2} (4x - 3) + 1(4x- 3)\\\\= (3x^{2}+1)(4x-3)[/tex]
Therefore, The distributive property can be applied to which expression [tex]\rm 12x^{3}-9x^{2} +4x-3[/tex] the given factors are [tex]\rm = (3x^{2}+1)(4x-3)[/tex]
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