I had a lot of trouble with this when my algebra class started doing it, a long time ago.
The key is this: Look at the -6 at the end. You have to find two factors of that number that add up to the -1 in the middle.
Here are the possible factors of -6 :
-1 ... 6 +1 ... -6 -2 ... 3 +2 ... -3
Can you find a pair on the list that adds up to -1 ? How about +2 and -3 ? Their product is -6 and their sum is -1. That's what you need.
Now set up a couple of binomial factors like this: (x....) (x....) and write in the pair of numbers you found: (x + 2) (x - 3) That's the factored form of the original expression.
x 2 − x − 6 = ( x + 2 ) ( x − 3 ) − x = 2 x − 3 x − 6 = 2 × ( − 3 ) or x 2 − x − 6 = x 2 + 2 x − 3 x − 6 = x ( x + 2 ) − 3 ( x + 2 ) = ( x + 2 ) ( x − 3 )
The expression x 2 − x − 6 factors to ( x + 2 ) ( x − 3 ) . This is done by finding two numbers that multiply to -6 and add to -1, which are + 2 and − 3 . Thus, the final factorized form is ( x + 2 ) ( x − 3 ) .
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Jawaban:Penjelasan:The Mandarin Chinese translation of "Saya cinta kamu" (which is Indonesian for "I love you") is "我爱你" (wǒ ài nǐ). Here's a breakdown: 我 (wǒ): means "I" or "me".爱 (ài): means "love".你 (nǐ): means "you".So, literally, "我爱你" translates to "I love you".