Difference Between Expanding and Factoring

Factoring and expanding are exactly the opposite operation. To factor means to express as a product. To expand means to multiply something out. ... To expand 5(x+4) means to remove the parentheses and multiply it out: 5x + 20.

1. What is expanding and factoring?
2. Is factoring the opposite of expanding?
3. What is the difference between factoring and simplifying?
4. What is the difference between factoring and distributing?
5. What are the 6 types of factoring?
6. What is the GCF of 12 and 24?
7. What are the rules of factoring?
8. What is the factoring method in algebra?
9. What does simplifying mean?
10. Is it important to identify factoring techniques that must be used to simplify algebraic expression Why?

What is expanding and factoring?

Factoring an expression is the opposite of expanding it. • Expanding an expression means removing the parenthesis or grouping symbols from it. • Each expanded expression can be factored by removing the Greatest Common Factor (GCF) from each term.

Is factoring the opposite of expanding?

Factoring (or factorising) is the opposite of expanding. Thus, using the distributive law, 3(x − 2) is the factored form of 3x − 6, and (x − 1)(x + 6) is the factored from x2 + 5x − 6.

What is the difference between factoring and simplifying?

In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them.

What is the difference between factoring and distributing?

Use the distributive property to factor a monomial out of a polynomial. Factors are numbers that multiply together to produce another number. For example, 2 and 10 are factors of 20, as are 4 and 5 and 1 and 20. Factoring is the process of breaking a number down into its multiplicative factors.

What are the 6 types of factoring?

The lesson will include the following six types of factoring:

• Group #1: Greatest Common Factor.
• Group #2: Grouping.
• Group #3: Difference in Two Squares.
• Group #4: Sum or Difference in Two Cubes.
• Group #5: Trinomials.
• Group #6: General Trinomials.

What is the GCF of 12 and 24?

Greatest common factor (GCF) of 12 and 24 is 12.

What are the rules of factoring?

General Factoring Strategy

• Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
• Determine the number of terms in the polynomial. a. ...
• Look for factors that can be factored further.
• Check by multiplying.

What is the factoring method in algebra?

Factoring (called "Factorising" in the UK) is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

What does simplifying mean?

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. Simplifying makes a algebric expression easily understandable and solvable.

Is it important to identify factoring techniques that must be used to simplify algebraic expression Why?

Answer: Yes its important. Because it will help you lead to correct answer if you know the factoring techniques to simplify rational algebraic exprrssions.