Question 430120
5(3x-1)+4(x^(2)-3x+3)(x+6)

Multiply 5 by each term inside the parentheses.
15x-5+4(x^(2)-3x+3)(x+6)

Multiply each term in the first polynomial by each term in the second polynomial.
15x-5+4(x^(2)*x+x^(2)*6-3x*x-3x*6+3*x+3*6)

Multiply each term in the first polynomial by each term in the second polynomial.
15x-5+4(x^(3)+3x^(2)-15x+18)

Multiply 4 by each term inside the parentheses.
15x-5+4x^(3)+12x^(2)-60x+72

Since 15x and -60x are like terms, add -60x to 15x to get -45x.
-45x-5+4x^(3)+12x^(2)+72

Add 72 to -5 to get 67.
-45x+67+4x^(3)+12x^(2)

Reorder the polynomial -45x+67+4x^(3)+12x^(2) alphabetically from left to right, starting with the highest order term.
4x^(3)+12x^(2)-45x+67