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Hi I’ve been struggling with these two problems for sometime now

Hi Ive Been Struggling With These Two Problems For Sometime Now class=

Sagot :

Answer

The answer is Distributive property

SOLUTION

Problem Statement

We are given the mathematical statement below:

[tex]5(x-3)=5x-15[/tex]

We are asked to find the property that justifies the above statement.

Solution

To solve this problem, we need to understand what the distributive property is.

The distributive property states:

[tex]A(B+C)=AB+AC[/tex]

If A = 5, B = x and C = -3

Thus, applying the Distributive property on the left-hand side of the mathematical equation given:

[tex]\begin{gathered} A(B+C)=AB+BC \\ 5(x-3)=5(x)+5(-3)_{} \\ =5x-15 \end{gathered}[/tex]

This conforms to the Distributive property

Final Answer

The answer is Distributive property

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