(7s-2t)-(3s-4st+7t)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (7s - 2t) - (3s - 4st + 7t)

This article will guide you through simplifying the expression (7s - 2t) - (3s - 4st + 7t). We'll break down the steps involved and explain the key concepts used.

Understanding the Steps

1. Distributing the Negative Sign: The minus sign in front of the second set of parentheses indicates that we need to multiply each term inside the parentheses by -1. This changes the signs of all the terms within the parentheses.

2. Combining Like Terms: After distributing the negative sign, we can identify terms with the same variable and exponent (like terms) and combine their coefficients.

Simplifying the Expression

Let's apply these steps:

(7s - 2t) - (3s - 4st + 7t)

Step 1: Distribute the negative sign.

= 7s - 2t - 3s + 4st - 7t

Step 2: Combine like terms.

= (7s - 3s) + (-2t - 7t) + 4st

Step 3: Simplify.

= 4s - 9t + 4st

Final Result

The simplified form of the expression (7s - 2t) - (3s - 4st + 7t) is 4s - 9t + 4st.