Question

How to rewrite algebraic expressions?

a) Use substitution
b) Factorize the expression
c) Expand the expression
d) Apply the distributive property

Answer 1

To rewrite algebraic expressions, you can use techniques like substitution, factorizing, expanding, and applying the distributive property.

Step-by-step explanation:

To rewrite algebraic expressions, there are several techniques you can use:

1. Use substitution: Replace a variable with an equivalent expression. For example, if the expression is 2x + 3y, and you know that x = 4 and y = 5, you can substitute these values to get 2(4) + 3(5) = 8 + 15 = 23.
2. Factorize the expression: Find common factors and simplify the expression. For example, if the expression is x^2 - 4, you can factor it as (x + 2)(x - 2).
3. Expand the expression: Use the distributive property to expand the expression. For example, if the expression is 2(x + 3), you can expand it as 2x + 6.
4. Apply the distributive property: Multiply terms inside parentheses by terms outside parentheses. For example, if the expression is 3(2x + 4y), you can distribute the 3 to get 6x + 12y.