There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
To simplify the expression (2a + a), you can combine like terms. Since both terms involve the variable (a), you can add their coefficients: (2 + 1 = 3). Thus, the simplified expression is (3a).
To simplify the expression (10n - 4n), you combine the like terms. Subtract (4n) from (10n) to get (6n). Therefore, the simplified expression is (6n).
To simplify the expression (3x + 2y + 5x - 6y), combine like terms. First, combine the (x) terms: (3x + 5x = 8x). Then, combine the (y) terms: (2y - 6y = -4y). Thus, the simplified expression is (8x - 4y).
To simplify the expression (8g - g), you combine like terms. Since both terms involve the variable (g), you can subtract the coefficients: (8 - 1 = 7). Therefore, the simplified expression is (7g).
To simplify the expression (4x + 6x), you combine like terms by adding the coefficients of (x). This gives you (4 + 6 = 10), so the simplified expression is (10x).
Like Terms and Variables
When you have an expression you have to simplify by eliminating all grouping symbols and combining like terms.
To simplify
You combine like terms.
To simplify the expression (2a + a), you can combine like terms. Since both terms involve the variable (a), you can add their coefficients: (2 + 1 = 3). Thus, the simplified expression is (3a).
Simplify an Expression
To simplify the expression (10n - 4n), you combine the like terms. Subtract (4n) from (10n) to get (6n). Therefore, the simplified expression is (6n).
3b-4-6b-5
To simplify the expression (3x + 2y + 5x - 6y), combine like terms. First, combine the (x) terms: (3x + 5x = 8x). Then, combine the (y) terms: (2y - 6y = -4y). Thus, the simplified expression is (8x - 4y).
To simplify the expression (8g - g), you combine like terms. Since both terms involve the variable (g), you can subtract the coefficients: (8 - 1 = 7). Therefore, the simplified expression is (7g).
To simplify the expression (4x + 6x), you combine like terms by adding the coefficients of (x). This gives you (4 + 6 = 10), so the simplified expression is (10x).
To simplify the expression (7a \cdot a), you multiply the coefficients and combine the like terms. The coefficient is 7, and (a \cdot a) is (a^2). Therefore, the simplified expression is (7a^2).