Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ? 18 cross times22

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: 18 22 = 396


    Step 1 of 2:
    The given expression is 18cross times22 . It can be written as (20 - 2)cross times(20 + 2) . This is of the form left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis text  where  end text a equals 20 straight & b equals 2 text .  end text.
    Step 2 of 2:
    Use the identity open parentheses a squared minus b squared close parentheses equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis to find the product 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 18 cross times 22 equals left parenthesis 20 minus 2 right parenthesis cross times left parenthesis 20 plus 2 right parenthesis end cell row cell equals 20 squared minus 2 squared end cell row cell equals 400 minus 4 end cell row cell equals 396 end cell end table
    Thus, the product is: 18 cross times 22 = 396

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

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