Distributive Property describe
The distributive property is a mathematical property that states that for any numbers a, b, and c, the product of a and the sum (or difference) of b and c is equal to the sum (or difference) of the products of a and b, and a and c. In other words, it allows us to distribute a number outside a parenthesis to items inside the parenthesis. The distributive property is represented as: a(b + c) = ab + ac. It is an important concept in algebra and is used to simplify expressions and solve equations.
example
An example of the distributive property is as follows:
Let's say we have the expression 2 * (3 + 4).
By applying the distributive property, we can distribute the 2 to both the 3 and the 4, and rewrite the expression as:
2 * (3 + 4) = (2 * 3) + (2 * 4) = 6 + 8 = 14
Therefore, by using the distributive property, we were able to simplify the expression and find the result.
combining like terms describe
Combining like terms is a process in algebra where terms that have the same variable(s) raised to the same power(s) are simplified by adding or subtracting them. This is done in order to simplify expressions and equations and make them easier to work with. When combining like terms, you add or subtract the coefficients of the like terms while keeping the variables unchanged.
For example, in the expression 3x + 2x - 5x + 7, the terms "3x," "2x," and "-5x" are all like terms because they have the same variable "x" raised to the first power. By combining these like terms, we can simplify the expression:
3x + 2x - 5x + 7 = (3 + 2 - 5)x + 7 = 0x + 7 = 7
So, by combining the like terms, we were able to simplify the expression to just a constant term.
like terms describe
Like terms are terms in algebraic expressions that have the same variable(s) raised to the same power(s). In other words, like terms are terms that contain the same variables with the same exponent. When simplifying expressions, like terms can be combined by adding or subtracting their coefficients.
For example, in the expression 3x + 2y - 5x + 4y, the terms "3x" and "-5x" are like terms because they both contain the variable x raised to the first power. Similarly, the terms "2y" and "4y" are like terms because they both contain the variable y raised to the first power.
Like terms can be combined and simplified by adding or subtracting their coefficients, while keeping the variables unchanged. Combining like terms is a fundamental concept in algebra and is key to simplifying expressions and solving equations.