Question

How do you multiply using the distributive property $8\left( {26} \right)$?

Answer 1

Hint: Here in this question, we have to find the product of 2 binomials. The binomial is one form of algebraic expression. The given expression in the form of square first we write the two times the same expression and then we use the arithmetic operation that is multiplication and then we simplify.

Complete step-by-step solution:
We are given an expression $8\left( {26} \right)$, and we have to multiply the values using distributive property.
Let’s first understand what is a distributive property.
According to distributive property, the multiplication of sum of two or more terms or values by a number is exactly equal to the multiplication of each term individually by the number and then add the products obtained together.
In our given expression we have simply given a number inside the parentheses and no sum of terms is given.
So, to calculate the multiplication, we simply multiply the both the number i.e. outside number with the number inside the brackets.
We get our multiplication as
$
  \Rightarrow 8\left( {26} \right) \\
   \Rightarrow 208 \\
 $
Therefore, the required multiplication of the given expression is equal to $208$.

Note:
1. Distributive property is also known as the distributive law of multiplication and division.
2. We use the distributive property generally when the two terms inside the parentheses cannot be added or operated because they are not the like terms.
3. We always have to ensure that the outside number is applied to all the terms inside the parentheses.
4. Always solve the parentheses first as per the golden rule of BODMAS.