Maths-
General
Easy

Question

Subtract -5x2 from the sum of 3xy - 2x2 + 19 and 9y2 + 3x2 - 5.

hintHint:

The concept used in this question is the subtraction of polynomials.
○    Arrange the term in the decreasing order of their power.
○    To subtract polynomials simply subtract any like terms together.
○     Like terms are terms whose variables and exponents are the same.

The correct answer is: 6x2 + 9y2 + 3xy + 14


    Answer:
    Step by step explanation:
    ○   Given:
    3xy - 2x2 + 19 and 9y2 + 3x2 - 5
    -5x2
    ○    Step 1:
    Add 3xy - 2x2 + 19 and 9y2 + 3x2 - 5
    (3xy - 2x2 + 19) + (9y2 + 3x2 - 5)
    rightwards double arrow 3xy - 2x2 + 19 + 9y2 + 3x2 - 5
    ○    Step 2:
    Arrange the term in descending order of their power
    rightwards double arrow  3x2 - 2x2 + 9y2 +3xy + 19 - 5
    rightwards double arrow  x2 + 9y2 + 3xy + 14
    ○    Step 3:
    Subtract -5x2 from x2 + 9y2 + 3xy + 14
    (x2 + 9y2 +3xy + 14) - ( -5x2)
    rightwards double arrow  x2 + 9y2 + 3xy + 14 + 5x2
    rightwards double arrow 6x2 + 9y2 +3xy + 14
    • Final Answer:
    6x2 + 9y2 + 3xy + 14

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