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

1 Answer
George C.
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.

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