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Jack wrote the following: (x+1)^2 - (x+2)(x-3) = x^2 + 2x+1-x^2-x-6 = x-5.

What mistakes did he make? write a correct simplification and explain how to avoid making this error. 

 Jun 10, 2019
 #1
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Let's see.

(x+1)(x+1)-(x+2)(x-3)

(x^2+2x+1)-(x^2-x-6)

x^2+2x+1-x^2+x+6

3x+7

 

We can see how he didn't distribute the negative sign in -(x^2-x-6) to the -x and -6.

 

You are very welcome!

:P

 Jun 10, 2019

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