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Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$

 Dec 10, 2017

Best Answer 

 #2
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You made a small mistake in the second to the last expansion. It should be:

 

x^2 - 11 x + 28 + (3 - x) (x + 2)

 

-x^2 + x + 6 + x^2 - 11 x + 28

 

-10 x + (x^2 - x^2) + (28 + 6)

 

-10x + 34, or: 34 - 10x

 Dec 10, 2017
 #1
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Step by Step:

 

 

1. Write out expression 

(x-4)(x-7) + (3-x)(2+x)

 

2. Expand

x- 7x - 4x - 28 + (-)x2 - 2x + 3x + 6

 

3. Simplify for both sides around the '+'

x2 -11x - 28 + (-)x2 + x + 6

 

4. Simplify expression to get the answer.

-10x - 22

 Dec 10, 2017
 #2
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Best Answer

You made a small mistake in the second to the last expansion. It should be:

 

x^2 - 11 x + 28 + (3 - x) (x + 2)

 

-x^2 + x + 6 + x^2 - 11 x + 28

 

-10 x + (x^2 - x^2) + (28 + 6)

 

-10x + 34, or: 34 - 10x

Guest Dec 10, 2017

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