Answer: [tex]15x^3-38x^2+9x+18[/tex]
Step-by-step explanation:
Given expression : [tex](5x-6)(3x^2- 4x-3)[/tex]
Using distributive property,
[tex]a(b+c)=ab+ac\\\\or\ (b+c)a=ba+ca[/tex]
Thus, [tex](5x-6)(3x^2- 4x-3)\\\\=(5x-6)3x^2-(5x-6)4x-(5x-6)3\\\\=5x(3x^2)-6(3x^2)-5x(4x)- (-6)(4x)-5x(3)-(-6)(3)\\\\=15x^3-18x^2-20x^2+24x-15x+18[/tex]
Combining like terms we get
[tex]15x^3-18x^2-20x^2+24x-15x+18\\\\=15x^3-38x^2+9x+18[/tex]
