Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
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
Step by Step:
1. Write out expression
(x-4)(x-7) + (3-x)(2+x)
2. Expand
x2 - 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
