Question

The sum of $–7\mathrm{pq}$ and $2\mathrm{pq}$ is

• A. $–9\mathrm{pq}$
• B. $9\mathrm{pq}$
• C. $5\mathrm{pq}$
• D. $-5\mathrm{pq}$

Answer 1

The correct option is D

$-5\mathrm{pq}$

Explanation for the correct answer:

Option(D): $–5\mathrm{pq}$

A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using operations like addition, subtraction, multiplication, and division.

Always add like terms, i.e. terms with the same variable and power, when adding polynomials. When you put polynomials together, you always get a polynomial of the same degree.

The given two monomials are like terms.

Then sum of $-7\mathrm{pq}$ and $2\mathrm{pq}$,

$=–7\mathrm{pq}+2\mathrm{pq}$

$=(-7+2)\mathrm{pq}$

$=-5\mathrm{pq}$

Hence, option(D) $\text{– 5pq}$is the correct answer

Explanation for the incorrect answer:

Option(A),Option(B) and Option(C):

By the method of Addition of polynomials, adding the given monomials, we get $\text{– 5pq}$.

Hence,option(A),(B) and (C) are incorrect answers.

Therefore, option(D)is the correct answer.