For this case we must multiply the following expression:
[tex](2x-6) (3x ^ 2-4x-5)[/tex]
Applying distributive property we have:
[tex](2x) (3x ^ 2) - (2x) (4x) - (2x) (5) - (6) (3x ^ 2) + (6) (4x) + (6) (5) =[/tex]
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:
[tex]6x ^ 3-8x ^ 2-10x-18x ^ 2 + 24x + 30 =[/tex]
Adding similar terms:
[tex]6x ^ 3-26x ^ 2 + 14x + 30[/tex]
Answer:
[tex]6x ^ 3-26x ^ 2 + 14x + 30[/tex]
