Maths-
General
Easy

Question

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

hintHint:

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 arrow12a - 2b - c
    ○        Step 1:
    ○        Subtract 12a +3b-c from 12a - 2b - c:

                                 rightwards double arrow(12a - 2b - c) - (12a +3b-c)

                                 rightwards double arrow12a - 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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