Maths-
General
Easy

Question

Use polynomial identities to factor the polynomials or simplify the expressions :
9 cubed plus 6 cubed

hintHint:

open parentheses a cubed plus b cubed close parentheses equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses , where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to factorize or simplify the expression.

The correct answer is: 945


     Step 1 of 2:
    The given expression is 9 cubed plus 6 cubed . It is of the form open parentheses a cubed plus b cubed close parentheses where a equals 9 straight & b equals 6.
    Step 2 of 2:
    Use the polynomial identity 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 9 cubed plus 6 cubed equals left parenthesis 9 plus 6 right parenthesis open parentheses 9 squared minus left parenthesis 9 right parenthesis left parenthesis 6 right parenthesis plus 6 squared close parentheses end cell row cell equals 15 left parenthesis 81 minus 54 plus 36 right parenthesis end cell row cell equals 15 left parenthesis 63 right parenthesis end cell row cell equals 945 end cell end table
    Thus, the required answer is 9 cubed plus 6 cubed equals 945

    Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.

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