Maths-
General
Easy

Question

 Fundamental Algebra:
1. Add:
(ii) –7y2 + 8y + 2 ; 3y2 – 7y + 1

hintHint:

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

The correct answer is: – 4y2 + y + 3


     

    • Step by step explanation:
    ○        Given:
               Expression:   –7y2 + 8y + 2 ;
     3y2 – 7y + 1 ;
    ○        Step 1:
    ○        Simplify the expression.

              (–7y2 + 8y + 2  ) + ( 3y2 – 7y + 1 )

              rightwards double arrow (–7y2 + 8y + 2  ) + ( 3y2 – 7y + 1 )
    ○        Step 2:
    ○        Group the like terms.
    rightwards double arrow ( –7y2. + 3y2 ) + ( 8y - 7y ) + ( 2 + 1 )

    ○        Step 3:
    ○        Add like terms,

              rightwards double arrow – 4y2 + y + 3

    • Final Answer:

                  – 4y2 + y + 3

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