What is the standard form of y= (4x-5)(x-4) ?

1 Answer
George C.
Jan 8, 2016

y = 4x^2-21x+20

Explanation:

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

y = (4x-5)(x-4)

=stackrel "First" overbrace((4x*x)) + stackrel "Outside" overbrace((4x*-4)) + stackrel "Inside" overbrace((-5*x)) + stackrel "Last" overbrace((-5*-4))

=4x^2-16x-5x+20

=4x^2-21x+20

Standard form puts the powers of x in descending order.

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