Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ? 103 cross times97

hintHint:

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

The correct answer is: 103 97 = 9991


    Step 1 of 2:
    The given expression is 103 cross times 97 . It can be written as 103cross times97 (100 + 3)(100 - 3) .
    It is of the form left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis text  where  end text a equals 100 straight & b equals 3.
    Step 2 of 2:
    Applying the identity on the expression, we get:

    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 103 space cross times space 97 equals left parenthesis 100 plus 3 right parenthesis left parenthesis 100 minus 3 right parenthesis end cell row cell equals 100 squared minus 3 squared end cell row cell equals 10 comma 000 minus 9 end cell row cell equals 9991 end cell end table
    Thus, the product is 103 cross times 97 9991.

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

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