Maths-

General

Easy

Question

# Subtract 12a +3b-c from the sum of 9a+4b-5c and 3a-6b+4c

Hint:

### Addition of polynomials.

○ Always take like terms together while performing addition.

○ In addition to polynomials only terms with the same coefficient are added.

○ Subtraction of polynomials.

○ Always take like terms together while performing subtraction.

○ In addition to polynomials only terms with the same coefficient are subtracted.

## The correct answer is: Hence, the answer is -5b.

### Answer:

- Step by step explanation:

○ Given:

Sum of: 9a+4b-5c and 3a-6b+4c

Term to be subtracted: 12a +3b-c

○ Step 1:

○ addition:

(9a+4b-5c) + (3a-6b+4c)

9a + 4b - 5c + 3a - 6b + 4c

(9a + 3a) +(4b -6b) -(5c - 4c)

12a - 2b - c

○ Step 1:

○ Subtract 12a +3b-c from 12a - 2b - c:

(12a - 2b - c) - (12a +3b-c)

12a - 2b - c - 12a - 3b + c

(12a - 12a) -(2b + 3b) +(c-c)

-5b

- Final Answer:

Hence, the answer is -5b.

○ Step 1:

○ Subtract 12a +3b-c from 12a - 2b - c:

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