Question

What is the standard form of `y= 3x(x+1/3)+2(x-4/5)^2`?

Answer 1

`y=5x^2-11/5x+32/25`

Explanation:

`"the standard form of a quadratic equation is"`

`•color(white)(x)y=ax^2+bx+c color(white)(x);a!=0`

`"to obtain this form expand both brackets and collect like"`
`"terms"`

`y=3x^2+x+2(x^2-8/5x+16/25)`

`color(white)(y)=3x^2+x+2x^2-16/5x+32/25`

`color(white)(y)=5x^2-11/5x+32/25larrcolor(red)"in standard form"`