Question

How do you write y = (5x − 2)(2x + 3) in written in standard form?

Answer 1

`y = 10x^2 + 11x - 6`

Explanation:

Starting with
`y=(5x-2)(2x+3)`

Expand (multiply out brackets):
`(a_1+a_2)(b_1+b_2)=a_1b_1 + a_1b_2 + a_2b_1 + a_2b_2`

`y = 5x*2x + 5x*3 -2*2x -2*3`
`y= 10x^2 + 15x - 4x -6`

Simplify (collect like terms)
`y = 10x^2 + 11x - 6`