Question

simplify (3x+8)(2x+6)

Answer 1

Use the FOIL method. (first, outside, inside, last)
FIRST -- take the first terms out of each set and multiply them
3x * 2x = 6x^2
OUTSIDE -- take the outside terms in each set and multiply
3x * 6 = 18x
INSIDE -- take the inside terms in each set and multiply
8 * 2x = 16x
LAST -- take the last numbers out of each set and multiply
8 * 6 = 48

now put them all together..
6x^2 + 18x + 16x + 48 (combine like terms)
6x^2 + 34x + 48

I don't know if you need to, but this can be factored
2(3x^2 + 17x + 24)