x2 − 3x − 7(x2 + x + 2)(2x − 1)
Question
x2 − 3x − 7(x2 + x + 2)(2x − 1)
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Solution
To simplify the given expression, let's start by distributing the -7 to each term inside the parentheses:
-7(x^2 + x + 2)(2x - 1)
= -7 * x^2 - 7 * x - 7 * 2x + 7 * 1
= -7x^2 - 7x - 14x + 7
= -7x^2 - 21x + 7
Now, let's distribute the -7 to the terms outside the parentheses:
x^2 - 3x - 7x^2 - 21x + 7
= (1 - 7)x^2 + (-3 - 21)x + 7
= -6x^2 - 24x + 7
Therefore, the simplified expression is -6x^2 - 24x + 7.
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