Question

How do you simply $ 4(a-3) $ ?

Answer 1

Hint: In this question, we have to simplify an algebraic equation. So we will solve this problem, using the distributive property. So, for solving this question, we will use the distributive property $ a(b-c)=ab-ac $. In the distributive property, we use the BODMAS property. BODMAS property states Brackets Of Division, Multiplication, Addition, and Subtraction, that is we first open brackets, and then we solve the four mathematical operations that are division, multiplication, addition, and subtraction. Applying the BODMAS property helps in getting the answer accurately. Therefore, in this question, we first open the brackets and then do multiplication. After that, we see that we are left only with the variable and a constant, thus we cannot solve more because we do not know the value of the variable, and thus the last equation will be our required answer.

Complete step by step answer:
According to the question, we have to simplify the algebraic equation.
So, to solve this problem we will use the distributive property.
The equation to be solved is $ 4(a-3) $ ------------ (1)
Now, we will apply the distributive property, that is $ a(b-c) $ can be solved by using the BODMAS property, so we can write this equation in the form of $ (ab-ac) $.
BODMAS property defines as the Brackets Of Division, Multiplication, Addition, and Subtraction. So, in the distributive property, we first open brackets and then solve for subtraction.
Similarly, in this question we will simplify this equation (1) using the distributive property, we get
 $ \begin{align}
  & 4(a-3) \\
 & \Rightarrow 4(a)-4.(3) \\
\end{align} $
Now, we multiply the numbers, therefore we get
 $ \Rightarrow 4a-12 $
Therefore, the simplified answer to the problem $ 4(a-3) $ is $ 4a-12 $ , which is our required answer.

Note:
 In a hurry, we end up reading questions wrong. So, we have to be careful while reading the questions. Always mention the property you are using while solving your answer. While using distributive property, first solve the brackets and then do division, multiplication, addition, and in the last subtraction.