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

1 Answer
Feb 8, 2018

#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"#