Maths-
General
Easy

Question

Use polynomial identities to factor the polynomials or simplify the expressions :
8 cubed minus 2 cubed

The correct answer is: Thus, the answer is; 8^3 - 2^3 = 504


    ANSWER:
    Hint:
    open parentheses a cubed minus b cubed close parentheses equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses, here a and b can be real values, variables or multiples of both.
    We are asked to use polynomial identities to factorize the given expression.
    Step 1 of 2:
    The given expression is 8 cubed minus 2 cubed text . It is of the form  end text open parentheses a cubed minus b cubed close parentheses text  where  end text a equals 8 straight & b equals 2 text .  end text
    Step 2 of 2:
    Use polynomial identities to simplify 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 8 cubed minus 2 cubed equals left parenthesis 8 minus 2 right parenthesis open parentheses 8 squared plus left parenthesis 8 right parenthesis left parenthesis 2 right parenthesis plus 2 squared close parentheses end cell row cell equals 6 left parenthesis 64 plus 16 plus 4 right parenthesis 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 row cell equals 6 left parenthesis 84 right parenthesis 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 row cell equals 504 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 space space end cell end table
    Thus, the answer is;8 cubed minus 2 cubed equals 504
    Note:
    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

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