Answer

Verified

406.5k+ views

**Hint:**In this problem we need to simplify the given expression i.e., we need to find the product of the given expression. For this we will multiply each term individually. First, we will multiply the terms $5$, $3m$ and then we will multiply the terms $5$, $-6$. Now we will add the two results to get the required result.

**Complete step by step solution:**

Given that, $5\left( 3m-6 \right)$.

Considering the terms $5$, $3m$. Now the product of the two terms $5$, $3m$ is given by

$5\times 3m=15m$

Considering the terms $5$, $-6$. Now the product of the two terms $5$, $-6$ is given by

$5\times -6=-30$

Now the sum of the results of the above two steps is given by

$15m+\left( -30 \right)=15m-30$.

**Hence the product of the given equation $5\left( 3m-6 \right)$ is $15m-30$.**

**Note:**For this problem we can use the distribution law of multiplication over the subtraction to get the result. The distribution law of multiplication over subtraction says that the product of the equation $a\left( b-c \right)$ is given by $a\left( b-c \right)=ab-ac$. So, we will compare the given equation with $a\left( b-c \right)$ and we will write the values of $a$, $b$, $c$. After knowing the values of $a$, $b$, $c$ we will calculate the values of $ab$, $ac$. After calculating the values of $ab$, $ac$, we will substitute those in the formula $a\left( b-c \right)=ab-ac$ to get the required result. The above procedure is somewhat lengthy so we haven’t used it in the solution.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE