Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ?

left parenthesis 10 plus 21 right parenthesis squared

The correct answer is: Thus, the product is (10+21)^2=961.


    ANSWER:
    Hint:
    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.
    Step 1 of 2:
    The given expression is  left parenthesis 10 plus 21 right parenthesis squared text . It is of the form  end text left parenthesis a plus b right parenthesis squared text  where  end text a equals 10 straight & b equals 21 text .  end text
    Step 2 of 2:
    Use polynomial identities to find 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 10 plus 21 right parenthesis squared equals 10 squared plus 2 left parenthesis 10 right parenthesis left parenthesis 21 right parenthesis plus 21 squared end cell row cell equals 100 plus 420 plus 441 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 row cell equals 961 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 space space space space space space space space space space space end cell end table
    Thus, the product is  left parenthesis 10 plus 21 right parenthesis squared equals 961.
    Note:
    Algebraic expression is an expression that is built by the combination of integer constants and variables.

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