# How do you simplify #x^ 2 + x − 42 x^ 2 − x − 56#?

Shuffle the order of the terms around so the powers of

Several basic addition and multiplication properties are used in this derivation, including:

Addition and multiplication are commutative:

Distributivity:

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To simplify the expression ( \frac{x^2 + x - 42}{x^2 - x - 56} ), you factor the numerator and denominator and then cancel out any common factors if possible.

Factorizing the numerator (x^2 + x - 42), we get ((x + 7)(x - 6)).

Factorizing the denominator (x^2 - x - 56), we get ((x - 8)(x + 7)).

Now, we can cancel out the common factor ((x + 7)) from the numerator and denominator.

The simplified expression becomes ( \frac{(x - 6)}{(x - 8)} ).

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