Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ?
left parenthesis 7 plus 9 right parenthesis squared

The correct answer is: Thus, the product is (7+9)^2=256


    ANSWER:
    Hint:
    left parenthesis straight x plus straight a right parenthesis squared equals straight x squared plus 2 ax plus straight a squared, where x and a can be real values, variables or multiples of both.
    We are asked to use polynomial identities to multiply the expression.
    Step 1 of 2:
    The given expression is  left parenthesis 7 plus 9 right parenthesis squared text . This is of the form  end text left parenthesis a plus b right parenthesis squared text  where  end text a equals 7 straight & b equals 9 text .  end text
    Step 2 of 2:
    Use the identity to get the product of the expression;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell left parenthesis 7 plus 9 right parenthesis squared equals 7 squared plus 2 left parenthesis 7 right parenthesis left parenthesis 9 right parenthesis plus 9 squared end cell row cell equals 49 plus 126 plus 81 space space space space space space space space space space space space space space space space space space end cell row cell equals 256 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Thus, the product is left parenthesis 7 plus 9 right parenthesis squared equals 256
    Note:
    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

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