(-3+7xy)-(2+4xy)-(12x+14xy)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions

In mathematics, simplifying expressions is a crucial step in solving equations and understanding complex relationships. This involves combining like terms and reducing the expression to its most basic form. Let's take a look at how to simplify the expression (-3 + 7xy) - (2 + 4xy) - (12x + 14xy).

Step 1: Distribute the Negative Signs

We begin by removing the parentheses. Remember that a minus sign in front of a parenthesis changes the sign of each term inside.

• (-3 + 7xy) - (2 + 4xy) - (12x + 14xy) = -3 + 7xy - 2 - 4xy - 12x - 14xy

Step 2: Combine Like Terms

Now we group together terms with the same variables and exponents.

• -3 - 2 - 12x + 7xy - 4xy - 14xy

Step 3: Simplify

Finally, we combine the coefficients of the like terms.

• -5 - 12x - 11xy

Therefore, the simplified form of the expression (-3 + 7xy) - (2 + 4xy) - (12x + 14xy) is -5 - 12x - 11xy.