Maths-
General
Easy

Question

Use polynomial identities to factor the polynomials or simplify the expressions :
10 cubed minus 3 cubed

hintHint:

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.

The correct answer is: 973


     Step 1 of 2:
    The given expression is 10 cubed minus 3 cubed . It is of the form open parentheses a cubed minus b cubed close parentheses where a equals 10 straight & b equals 3.
    Step 2 of 2:
    Use the polynomial identity to find the answer 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 10 cubed minus 3 cubed equals left parenthesis 10 minus 3 right parenthesis open parentheses 10 squared plus left parenthesis 10 right parenthesis left parenthesis 3 right parenthesis plus 3 cubed close parentheses end cell row cell equals 7 left parenthesis 100 plus 30 plus 9 right parenthesis end cell row cell equals 7 left parenthesis 139 right parenthesis end cell row cell equals 973 end cell end table
    Thus, the answer is 10 cubed minus 3 cubed equals 973

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

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