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Okay Next up two of five in this quadratic landscape

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And the question is factor completely Let's think about it

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Think of factoring is a game of trivia about a

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very living in range of topics and you'll never see

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alex quadratic ce for two hundred yeah doesn't happen Every

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game of factoring begins with a round of identify the

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g c f or greatest common factor quick hit that

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buzzer already three c so let's pull out three c

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right away and we get three seat times foresee squared

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minus nine Ok interesting So now we've got a four

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c squared minus nine Note that four and nine there

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are perfect squares We'll only three commonly used words in

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the english language Have a double u that's a u

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u not a w This expression has some doubles too

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in the form of identical factors for c squared here

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factors toe to see times to see and nine equals

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three three squared Well when two perfect squares they're subtracted

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from one another The expression is called a shockingly difference

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of two squares That's what it's called sexually a thing

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The general formula for factoring a difference of two squares

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is a squared minus B squared equals a plus b

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a minus b this format right Here so a stands

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for the factors of foresee squared which are to see

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and b equals three right Use the general form to

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a factor The expression here So we've got three c

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times quantity to see plus three and then to see

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ministry just like that The fact is that we factored

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this expression into three c times equality thing Alright let's 00:01:34.553 --> [endTime] be we're done

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