Maths-
General
Easy

Question

Use polynomial identities to factor the polynomials or simplify the expressions :
10 cubed plus 5 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: 1125


     Step 1 of 2:
    The given expression is 10 cubed plus 5 cubed . It is of the form open parentheses a cubed plus b cubed close parentheses where a equals 10 straight & b equals 5
    Step 2 of 2:
    Substitute the values in the identity to get the required answer:

    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 plus 5 cubed equals left parenthesis 10 plus 5 right parenthesis open parentheses 10 squared minus left parenthesis 10 right parenthesis left parenthesis 5 right parenthesis plus 5 squared close parentheses end cell row cell equals left parenthesis 15 right parenthesis left parenthesis 100 minus 50 plus 25 right parenthesis end cell row cell equals left parenthesis 15 right parenthesis left parenthesis 75 right parenthesis end cell row cell equals 1125 end cell end table
    Thus, the answer is 10 cubed plus 5 cubed equals 1125

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

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