How do you simplify \[2\left( {x - 4} \right)\]?
Answer
618.6k+ views
Hint: In this question, we have to simplify the given expression.
To simplify a given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
First we remove the bracket and for doing that we need to multiply the constant term with the first term within the bracket then put the negative sign and multiply it with the second term.
By simplifying this we will get the required solution.
Complete step by step solution:
It is given that, \[2\left( {x - 4} \right)\].
We need to simplify \[2\left( {x - 4} \right)\].
To simplify the given expression we need to follow the BODMAS rule. For that we have to remove the bracket first.
We will remove the bracket by multiplying the constant term with the first term within the bracket then putting the negative sign and multiply it with the second term.
\[ \Rightarrow 2\left( {x - 4} \right)\]
\[ \Rightarrow 2 \times x - 2 \times 4\]
Now the second term is a product of two constant term simplifying we get,
\[ \Rightarrow 2x - 8\]
Therefore, \[2\left( {x - 4} \right) = 2x - 8\].
Hence simplifying \[2\left( {x - 4} \right)\], we get \[2x - 8\].
Note: Algebraic operation:
In mathematics, a basic algebraic operation is any one of the common operations of arithmetic, which include addition, subtraction, and multiplication, division, raising to an integer power, and taking roots (fractional power).
To simplify algebraic expressions we will consider highest power first then less the powers accordingly and end it with the constant term.
“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.
To simplify a given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
First we remove the bracket and for doing that we need to multiply the constant term with the first term within the bracket then put the negative sign and multiply it with the second term.
By simplifying this we will get the required solution.
Complete step by step solution:
It is given that, \[2\left( {x - 4} \right)\].
We need to simplify \[2\left( {x - 4} \right)\].
To simplify the given expression we need to follow the BODMAS rule. For that we have to remove the bracket first.
We will remove the bracket by multiplying the constant term with the first term within the bracket then putting the negative sign and multiply it with the second term.
\[ \Rightarrow 2\left( {x - 4} \right)\]
\[ \Rightarrow 2 \times x - 2 \times 4\]
Now the second term is a product of two constant term simplifying we get,
\[ \Rightarrow 2x - 8\]
Therefore, \[2\left( {x - 4} \right) = 2x - 8\].
Hence simplifying \[2\left( {x - 4} \right)\], we get \[2x - 8\].
Note: Algebraic operation:
In mathematics, a basic algebraic operation is any one of the common operations of arithmetic, which include addition, subtraction, and multiplication, division, raising to an integer power, and taking roots (fractional power).
To simplify algebraic expressions we will consider highest power first then less the powers accordingly and end it with the constant term.
“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

What is the full form of pH?

What is pollution? How many types of pollution? Define it

On an outline map of India show its neighbouring c class 9 social science CBSE


