Question

Find the product of (3x+2) and (3x+5) in simplest form

Answer 1

3x*3x= 6x²
3x*5= 15x
2*3x=6x
2*5=10
6x²+15x+6x+10 = 6x²+21x+10

Answer 2

When finding a product means we are multiplying
(3x+2)(3x+5) to multiply this we need to FOIL
(3x)(3x) FIRST -
`9 x^(2)`
(3x)(5) OUTER - 15x
(2)(3x) INNER - 6x
(2)(5) LAST - 10

so now we combine like terms -
`9 x^(2) +15x+6x+10` turns into
`9 x^(2) +21x+10`