What is the standard form of # y= (x-6) (x-3) #?

1 Answer
Feb 7, 2016

Multiply out to find:

#y=x^2-9x+18#

Explanation:

We can use the FOIL mnemonic to help multiply this out:

#y = (x-6)(x-3)#

#=stackrel "First" overbrace(x*x) + stackrel "Outside" overbrace(x*(-3)) + stackrel "Inside" overbrace((-6)*x) + stackrel "Last" overbrace((-6)(-3))#

#=x^2-3x-6x+18#

#=x^2-9x+18#

This is in standard form with the powers of #x# in descending order.