Chapter 4, Problem 4CT

(a)

To determine

Here we have to add the given polynomial expression

  $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

Answer to Problem 4CT

  $=10n-2$

Explanation of Solution

Given:

We have given the expression $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

Formula used:

(1) To solve this expression we used the BODMAS rule

B---bracket

O---orders of

D---division

M---multiplication

A---addition

S---subtraction

In this series B comes first and S at last while solving any expression

(2) Arrange the same power variables terms on the same side and constant on the same side.

Calculation:

So the given expression is $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

1. Same terms

  $\begin{array}{l}\left(i\right)9n,n \\ \left(ii\right)-5,3\end{array}$

Now we add both the polynomial by the above rule

  $\begin{array}{l}=\left(9n-5\right)+\left(n+3\right) \\ =\left(9n+n\right)+\left(-5+3\right) \\ =10n-2\end{array}$

Conclusion:

Hence the answer of the given expression is $10n-2.$

(b)

To determine

Here he has to subtract the given polynomial expression $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

Answer to Problem 4CT

  $=8n-8$

Explanation of Solution

Given:

We have given the expression $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

Formula used:

(1) To solve this expression we used the BODMAS rule

B---bracket

O---orders of

D---division

M---multiplication

A---addition

S---subtraction

In this series B comes first and S at last while solving any expression

(2) Arrange the same power variables terms on the same side and constant on the same side.

Calculation:

So the given expression is $\begin{array}{l}9n-5\\ \frac{n+3}{}\end{array}$

(1) Same terms $\begin{array}{l}\left(i\right)9n,n \\ \left(ii\right)-5,3\end{array}$

Now we add both the polynomial by the above rule

  $\begin{array}{l} =\left(9n-5\right)-\left(n+3\right)\hfill \\ =\left(9n-n\right)+\left(-5-3\right)\hfill \\ =8n-8\hfill \end{array}$

Conclusion:

Hence the answer of the given expression is $=8n-8$