# What does it mean to simplify an answer?

## What does it mean to simplify an answer?

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.

**How do you combine like terms on a calculator?**

Steps to Use the Combine Like Terms Calculator

- Step 1: Enter the complete equation in the first input box i.e. across “Enter Terms:”
- Step 2: Click on “Combine Like Terms”.
- Step 3: After clicking on “Combine Like Terms”, a new window will appear where all the like terms will be simplified.

### How do you simplify combine like terms?

Like terms are combined in algebraic expression so that the result of the expression can be calculated with ease. For example, 7xy + 6y + 6xy is an algebraic equation whose terms are 7xy and 6xy. Therefore, this expression can be simplified by combining like terms as 7xy + 6xy + 6y = 13xy + y.

**What are the rules for Surds?**

Rules of Surds

- Every rational number is not a surd.
- Every irrational number is a surd.
- A root of a positive real quantity is called a surd if its value cannot he exactly determined.
- √a × √a = a ⇒ √5 × √5 = 5.
- The sum and difference of two simple quadratic surds are said to be conjugate surds or complementary surds to each other.

#### How do you expand and simplify brackets?

Expanding brackets

- To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression 3 ( m + 7 ) , multiply both and 7 by 3, so:
- Expanding brackets involves using the skills of simplifying algebra. Remember that. 2 × a = 2 a and a × a = a 2 .
- Expand 4 ( 3 n + y ) .

**How do you expand and simplify three brackets?**

To expand three brackets, expand and simplify two of the brackets then multiply the resulting expression by the third bracket.

## How do you simplify equations with brackets?

Expand the expression 2(a+5b−3c).

- Step 1: Multiply the 2 by the first term in the bracket. 2×a=2a.
- Step 2: Multiply the 2 by the second term in the bracket. 2×5b=10b.
- Step 3: Multiply the 2 by the third term in the bracket. 2×3c=6c.
- Step 4: Write the new terms of the expression with the correct operation signs. 2a+10b−6c.

**How do you solve a binomial theorem?**

Now on to the binomial.

- We will use the simple binomial a+b, but it could be any binomial.
- (a+b)2 = (a+b)(a+b) = a2 + 2ab + b2
- (a+b)3 = (a2 + 2ab + b2)(a+b) = a3 + 3a2b + 3ab2 + b3
- a3 + 3a2b + 3ab2 + b3
- Now, notice the exponents of a.
- Likewise the exponents of b go upwards: 0, 1, 2, 3: