Question

How do you find the product of `(5x + 2) (7x + 6)`?

Answer 1

`35x^2+44x+12`

Explanation:

`"each term in the second factor is multiplied by each term"`
`"in the first factor"`

`rArr(color(red)(5x+2))(7x+6)`

`=color(red)(5x)(7x+6)color(red)(+2)(7x+6)`

`=(color(red)(5x)xx7x)+(color(red)(5x)xx6)+(color(red)(2)xx7x)+(color(red)(2)xx6)`

`=35x^2color(blue)(+30x)color(blue)(+14x)+12`

`=35x^2+44x+12`