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Algebraic Expressions Test - 6

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Algebraic Expressions Test - 6
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  • Question 1
    1 / -0

    lf A = 10w3 + 20w2 − 55w + 60, 

    B = − 25w2 + 15w − 10and

    C = 5w2 − 10w + 20, then

    A + B −C is equal to _____.

    Solution

    A + B −C = (10w3 + 20w2 − 55w + 60)

    + (−25w2 + 15w − 10) −(5w2 − 10w + 20) Bring all the like terms together, we get

    A + B − C = 10w3 + (20w2 − 25w2 − 5w2)

    + (− 55w + 15w + 10w) + (60 − 10 − 20)

    = 10w2 − 10w2 − 30w + 30

     

  • Question 2
    1 / -0

    By how much is a4 + 4a2 b2 + b4 more than a4 − 8a2 b2 + b4?

    Solution

    Required expression

    =(a4 + 4a2b2 + b4) − (a4 − 8a2b2 + b4) 

    =a4 + 4a2b2 + b4 − a4 + 8a2b2 − b4 =12a2b2

     

  • Question 3
    1 / -0

    If 'n? denotes a natural number, what does '2n' denote?

    Solution

    2n +1 denotes an even number as it is exactly divisible by 2

     

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