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Maths-

General

Easy

Question

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

hint 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)
$rightwards double arrow$ 9a + 4b - 5c + 3a - 6b + 4c
$rightwards double arrow$ (9a + 3a) +(4b -6b) -(5c - 4c)
$rightwards double arrow$ 12a - 2b - c
○        Step 1:
○        Subtract 12a +3b-c from 12a - 2b - c:
$rightwards double arrow$ (12a - 2b - c) - (12a +3b-c)
$rightwards double arrow$ 12a - 2b - c - 12a - 3b + c
$rightwards double arrow$ (12a - 12a) -(2b + 3b) +(c-c)
$rightwards double arrow$ -5b

Final Answer:

Hence, the answer is -5b.

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