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Asked by: Murray Hegmann
Updated: 11 August 2021 12:21:00 AM

How to simplify multiplication?

Two Methods of Simplifying One method is to use prime factorization and then divide out the common factors between the numerator and denominator. A second method is to divide out the common factors without completing the prime factorization of each term. Simplify the product .

Considering that fact, what are the steps to simplify?

To simplify any algebraic expression, the following are the basic rules and steps:
  1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
  2. Use the exponent rule to remove grouping if the terms are containing exponents.
  3. Combine the like terms by addition or subtraction.
  4. Combine the constants.

With this consideration in mind, does simplify mean multiply?

To simplify such an expression, we combine the numbers together and then the like variables together. This power tells us how many of those variables we are multiplying together. So, if we are multiplying two xs together, then we will have x to the second power.

In the same way how do you simplify math expressions?

Here are the basic steps to follow to simplify an algebraic expression:
  1. remove parentheses by multiplying factors.
  2. use exponent rules to remove parentheses in terms with exponents.
  3. combine like terms by adding coefficients.
  4. combine the constants.
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Related questions and answers

What is an example of simplify?

Example 1: Simplify: 5(7y+2) 5 ( 7 y + 2 ) . Solution: Multiply 5 times each term inside the parentheses. Example 2: Simplify: −3(2x2+5x+1) − 3 ( 2 x 2 + 5 x + 1 ) . Because multiplication is commutative, we can also write the distributive property in the following manner: (b+c)a=ba+ca ( b + c ) a = b a + c a .

What is the rule for solving equations?

The following steps provide a good method to use when solving linear equations. Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.

What is the golden rule for solving equations and inequalities?

I must have still been half-asleep when I typed up these notes because I called it The Golden Rule of Inequalities: Whenever you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol. In retrospect, the name makes no sense.

What are 2 step equations?

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

How do you simplify powers?

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.

Do You Solve brackets or parentheses first?

Lesson Summary
In mathematics, they are mostly used for order of operations. The innermost parentheses are calculated first, followed by the brackets that form the next layer outwards, followed by braces that form a third layer outwards.

What is the golden rule for solving equations?

Do unto one side of the equation, what you do to the other!
An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the 'scale' (or equation) balanced so that both sides are ALWAYS equal.

What are the 4 steps to solving an equation?

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division.

What are two basic rules for solving algebraic equations?

In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.

What is an example of simplify?

Example 1: Simplify: 5(7y+2) 5 ( 7 y + 2 ) . Solution: Multiply 5 times each term inside the parentheses. Example 2: Simplify: −3(2x2+5x+1) − 3 ( 2 x 2 + 5 x + 1 ) . Because multiplication is commutative, we can also write the distributive property in the following manner: (b+c)a=ba+ca ( b + c ) a = b a + c a .

How do you multiply and simplify brackets?

Expanding brackets means multiplying everything inside the bracket by the letter or number outside the bracket. For example, in the expression 3 ( m + 7 ) both and 7 must be multiplied by 3: 3 ( m + 7 ) = 3 × m + 3 × 7 = 3 m + 21 .

How do you simplify powers?

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.

What must an equation have?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.