Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)

hintHint:

left parenthesis x minus a right parenthesis squared equals x squared minus 2 a x plus a squared , where x and a can be real values, variables or multiples of both. We are asked to use identities to multiply the given expression.

The correct answer is: = x2 - 18x + 81


     Step 1 of 2:
    The given expression is left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis . It can be written as: left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis equals left parenthesis x minus 9 right parenthesis squared . It is of the form left parenthesis x minus a right parenthesis squared .
    Step 2 of 2:
    Apply the identity left parenthesis x minus a right parenthesis squared equals x squared minus 2 a x plus a squared to get 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 left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis equals left parenthesis x minus 9 right parenthesis squared end cell row cell equals x squared minus 2 left parenthesis x right parenthesis left parenthesis 9 right parenthesis plus 9 squared end cell row cell equals x squared minus 18 x plus 81 end cell end table

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

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