Simplify the expression:

\((a + 2b + 3c) - (4a + 6b - 5c)\)

What is the equivalent expression? Please provide a detailed explanation.

(a + 2b + 3 c) - (4a + 6b - 5c) =
= a + 2b + 3c - 4a - 6b + 5c =
= -3a - 4b + 8c

Answered by vivindalka | 2024-06-10

The **solution **of the given **expression **will be -3a - 4b + 8c.'
What is an expression?
The **mathematical **expression combines numerical variables and operations denoted by addition, subtraction , multiplication, and division signs.
Mathematical **symbols **can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation , and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,
E = (a + 2b + 3 c) - (4a + 6b - 5c)
E = a + 2b + 3c - 4a - 6b + 5c =
E = -3a - 4b + 8c
Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).
To know more about an **expression **follow
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Answered by shubhamchouhanvrVT | 2024-06-17

The expression ( a + 2 b + 3 c ) − ( 4 a + 6 b − 5 c ) simplifies to − 3 a − 4 b + 8 c . This is done by distributing the negative sign and combining like terms. The final result incorporates changes in the variables a, b, and c.
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Answered by shubhamchouhanvrVT | 2024-10-14