Maths-
General
Easy

Question

How much should 3x2 -5xy +7y2 +3 be increased to get 5x2-7xy-3y4+3x

hintHint:

Addition of polynomials.
○        Always take like terms together while performing addition.
○        In addition to polynomials only terms with the same coefficient are added.

The correct answer is: Hence, the other term must add is - 3y4 - 7y2 + 2x2 - 2xy + 3x - 3.


    Answer:
    • Step by step explanation:
    ○        Given:
    Terms:

                                 3x2 -5xy +7y2 +3

                                 5x2-7xy-3y4+3x
    ○        Step 1:
    ○        Let A must be added to 3x2 -5xy +7y2 +3 to get 5x2-7xy-3y4+3x.
    So,

                                  rightwards double arrow A +3x2 -5xy +7y2 +3 = 5x2-7xy-3y4+3x

                                  rightwards double arrow A = (5x2-7xy-3y4+3x ) - ( 3x2 -5xy +7y2 +3  )

                                  rightwards double arrow A = - 3y4 - 7y2 + 5x2 - 3x2- 7xy + 5xy + 3x - 3

                                  rightwards double arrow A = - 3y4 - 7y2 + 2x2 - 2xy + 3x - 3

                                  rightwards double arrow A = - 3y4 - 7y2 + 2x2 - 2xy + 3x - 3

    • Final Answer:
    Hence, the other term must add is - 3y4 - 7y2 + 2x2 - 2xy + 3x - 3.

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