Maths-
General
Easy

Question

What must be subtracted from 3x2-5xy -2y2-3 to get 5x2-7xy -3y2+3x

hintHint:

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 other term must subtract is - 2x2 + y2 + 2xy - 3x - 3.


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

                                 3x2-5xy -2y2-3

                                 5x2-7xy -3y2+3x
    ○    Step 1:
    ○    Let A must be subtracted from 3x2-5xy -2y2-3  to get 5x2-7xy -3y2+3x.
    So,

                                  rightwards double arrow 3x2-5xy -2y2-3 - A = 5x2-7xy -3y2+3x

                                  rightwards double arrow A = (3x2-5xy -2y2-3) - ( 5x2-7xy -3y2+3x )

                                  rightwards double arrow A = 3x2-5xy -2y2- 3- 5x2 + 7xy + 3y2 - 3x

                                  rightwards double arrow A = 3x2 - 5x2 + 3y2 -2y2 -5xy + 7xy - 3x - 3

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

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

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

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