The distributive property is a property used in Algebra where a number, when multiplied with a group of numbers, can be distributed to each number of the group and multiplied. Let’s look at the formula and examples for further explanations.
Distributive Property Formula –
 \[\LARGE a\times (b+c)=a\times b+a\times c\]
Solved Examples
Question 1: Solve 4(5 + 7), using the distributive property.
Solution:
Solution:
4(5 + 7)
Using distributive property,
= 4Â
= 20 +Â 28
= 48
Using distributive property,
= 4Â
\(\begin{array}{l}\times\end{array} \)
5Â + 4Â \(\begin{array}{l}\times\end{array} \)
 7= 20 + 28
= 48
Question 2:Â Solve (-2)(3x + 5)
Solution:Â
(-2)(3x + 5)
Using distributive property,
(-2)(3x) + (-2)(5)
= -6x – 10
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