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Okay sy match members Another bossy directive here Factor completely

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What's the equation nine and squared plus fifteen in plus

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fours and notice all these air special numbers No prime

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numbers here so we'll probably be able to do some

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factor in here All right Well there's one in every

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crowd the prankster tricks You're the one who finds plastic

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vomit hilarious on this test the jokester is the expression

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nine in squared plus fifteen in plus four Why Well

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the first and last terms are perfect squares So this

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try No mia leads us to believe it's A perfect

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square Trying amelia makes it easier to factor Check for

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hand buzzers before grabbing onto this form to be a

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perfect square Trying no menial the middle term must be

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twice the product of the square root of the end

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terms In other words it should be two times quantity

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three times two right there equals twelve in So fifteen

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in does not equal twelve ends of the cord Erratic

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isn't actually a perfect square Try no meal Very funny

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So well we could get rid of a immediately Well

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ignore the jokes here A math joke Sorry It's A

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lower standards and treat The expression is just a normal

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expression while to factor a try no meal who's leading

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coefficient isn't one So you gotta find factors of well

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nine times for equal Thirty six And somehow these have

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tto add two fifteen which is the coefficient in the

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middle term Well what those factors while three times twelve

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is thirty six and three plus twelve is fifteen So

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rewrite fifteen n as three n plus twelve in and

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no joke they have the same value so the replacement

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is completely allowable See how that works So that gives

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us nine squared plus fifteen in plus four is our

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starting point Then we've got nine in squared plus three

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and plus twelve in plus for group The first two

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terms in the last two terms and factory g c

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f out of the group and it looks like this

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Nine in squared plus three and that quantity plus twelve

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in plus four So then we got three and pulled

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out here and they got three and plus one plus

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for three in plus one Well the two term share

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of greatest common factor of three and plus one there

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and just factored out from both terms like any other

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G c f and that gets us three end times

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Quantity three and plus one plus four times quantity three

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plus one and that boils down to three and plus

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one times quantity three and plus for the correct factory

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ization then is the quantity Three in plus one times

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quantity three and plus ford and that's it We're done 00:02:25.575 --> [endTime] it See that's the right answer See you later

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