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2. simplify the expression \\((x^2 - 5x - 11) - (7x^2 - 3x - 2)\\). com…

Question

  1. simplify the expression \\((x^2 - 5x - 11) - (7x^2 - 3x - 2)\\).

complete the problem on the \free response page\. you must show work for credit. place your solution in the answer box.

Explanation:

Step1: Distribute the negative sign

$(x^2 - 5x - 11) - 7x^2 + 3x + 2$

Step2: Combine like $x^2$ terms

$x^2 - 7x^2 - 5x + 3x - 11 + 2 = -6x^2 - 5x + 3x - 11 + 2$

Step3: Combine like $x$ terms

$-6x^2 - 2x - 11 + 2$

Step4: Combine constant terms

$-6x^2 - 2x - 9$

Answer:

$-6x^2 - 2x - 9$