Question

substract (3p+q+3c) form 5p+4q+7c​

Answer 1

$\large \bf{Question}$

Subtract (3p+q+3c) from 5p+4q+7c

$\huge \pink{\frak{Answer}}$

${ \rm \green{2p - 3q - 4c}}$

Their are two methods of obtaining answer :-

Method 1

$\rm 5p + 4q + 7c - (3p + q + 3c)$

$\rm 5p + 4q + 7c - 3p - q - 3c$

Group the like terms i.e terms with the similar coefficients .

$\sf(5p - 3p) + (4q - q) + (7c - 3c)$

$= \red{ \bf \: 2p + 3q + 4c}$

Method 2

Using a direct Method

$\boxed {\begin{array}{c}\qquad5p + 4q + 7c \\ ( - )3p + q + 3c \\ \qquad - \: - \: - \\ \hline\qquad \: 2p + 3q + 4c \\ \hline \end{array}}$

Precaution

1. While using direct method use the following identities :-

$\begin{array}{ | c |c || c| } \hline( - )&( - )& = ( + ) \\ ( - )&( + )& = ( - ) \\ ( - )&( + )& = ( - ) \\ ( + )&( + )& = ( + ) \\ \hline\end{array}$

$\orange{ \huge \frak{Thankyou}}$

Answer 2

Answer:

4c + 5q

Step-by-step explanation:

COMBINE LIKE TERMS:

(5q + 4q + 7c) - (3q + q + 3c)

( 9q + 7c) - (3q + q + 3c)

REARRANGE TERMS:

( 9q + 7c) - (3q + q + 3c)

( 7c + 9q) - (3q + q + 3c)

COMBINE TERMS LIKE:

( 7c + 9q) - (3q + q + 3c)

( 7c + 9q) - (4q + 3c)

REARRANGE TERMS:

(7c + 9q) - ( 4q + 3c)

(7c + 9q) - (3c + 4q)

DISTRIBUTE:

(7c + 9q) - ( 3c + 4q)

(7c + 9q) - 3c - 4q

ELIMINATE REDUNDANT PARENTHESES:

(7c + 9q) - 3c - 4q

7c + 9q - 3c - 4q

COMBINE TERMS LIKE:

7c + 9q - 3c - 4q

4c + 9q - 4q

COMBINE TERMS LIKE:

4c + 9q - 4q

4c + 5q