Maths-
General
Easy

Question

2.Find the sum: 4p + 6q - 5r; -2p - 4r - 5q; 7p + r + 4q

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: 9p - 8r + 5q.


    Answer:


    • Step by step explanation:
    ○        Given:
    Expression: 4p + 6q - 5r
    -2p - 4r - 5q
    7p + r + 4q
    ○        Step 1:
    ○        Simplify the expression.
    ∴  (4p + 6q - 5r) + (-2p - 4r - 5q) + ( 7p + r + 4q)
    ○        Step 2:
    ○        Group the like terms.
    rightwards double arrow(4p - 2p + 7p ) + ( r - 4r - 5r) + ( 6q - 5q + 4q)
    ○        Step 3:
    ○        Perform simple addition of like terms
    rightwards double arrow (4p - 2p + 7p ) + ( r - 4r - 5r) + ( 6q - 5q + 4q)
    rightwards double arrow (9p) + (-8r) + (5q)
    rightwards double arrow 9p - 8r + 5q
    • Final Answer:
    9p - 8r + 5q.

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