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How do you factorize? (x-3)^2 - (x+4)^2

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tamanim | Student, Grade 11 | Honors

Posted March 24, 2013 at 12:53 AM via web

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How do you factorize?

(x-3)^2 - (x+4)^2

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted March 24, 2013 at 1:39 AM (Answer #1)

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We know that;

`A^2-B^2 = (A+B)(A-B)`

 

Let;

`A = (x-3)`

`B = (x+4)`

 

`(x-3)^2-(x+4)^2`

`= A^2-B^2`

`= (A+B)(A-B)`

`= (x-3+x+4)(x-3-(x+4))`

`= (2x+1)(-7)`

`= -7(2x+1)`

 

So the answer is;

`(x-3)^2-(x+4)^2 = -7(2x+1)`

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