Question

How do you simplify \[2\left( {x - 4} \right)\]?

Answer 1

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.