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

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.

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.