Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions ?
open parentheses 6 minus y cubed close parentheses squared

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


    ANSWER:
    Hint:
    left parenthesis x minus a right parenthesis squared equals x squared minus 2 a x plus a squaredwhere x and a can be real values, variables or multiples of both.
    We are asked to use polynomial identities to find the product of the given expression.
    Step 1 of 2:
    The given expression is open parentheses 6 minus y cubed close parentheses squared text . It is of the form  end text left parenthesis x minus a right parenthesis squared text  where  end text x equals 6 straight & a equals y cubed
    Step 2 of 2:
    Use the polynomial identity left parenthesis x minus a right parenthesis squared equals x squared minus 2 a x plus a squared text  to get the product of the expression;  end text
    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 open parentheses 6 minus y cubed close parentheses squared equals 6 squared minus 2 left parenthesis 6 right parenthesis open parentheses y cubed close parentheses plus open parentheses y cubed close parentheses squared end cell row cell equals 36 minus 12 y cubed plus y to the power of 6 space space space space space space space space space space space space space space space space space space space space space space space space end cell end table
    Thus, the product is: open parentheses 6 minus straight y cubed close parentheses squared equals 36 minus 12 straight y cubed plus straight y to the power of 6
    Note:
    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

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