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

1 Answer
Mar 25, 2016

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