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General
Easy

Question

Use polynomial identities to multiply the expressions ? (7 + 9)2

hintHint:

left parenthesis x plus a right parenthesis squared equals x squared plus 2 a x plus 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.

The correct answer is: (7 + 9)2 = 256


     Step 1 of 2:
    The given expression is left parenthesis 7 plus 9 right parenthesis squared. . This is of the form left parenthesis a plus b right parenthesis squared text  where  end text a equals 7 straight & b equals 9
    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 end cell row cell equals 256 end cell end table
    Thus, the product is left parenthesis 7 plus 9 right parenthesis squared equals 256

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

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