Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions;  open parentheses 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed close parentheses

Hint:

left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals a squared minus b squared, where a and b can be real number, variables or multiples of them. We are asked to find on how you could use a polynomial identity to multiply the given expression.

The correct answer is: 9x4 - 25y6


    Step 1 of 2:
    The given expression is : open parentheses 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed close parentheses .
    Here, a equals 3 x squared straight & b equals 5 y cubed
    Taking the values and the expression, it can be written as left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals a squared minus b squared
    Step 2 of 2:
    Applying the identity for the expression open parentheses 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed close parentheses, we have:

    open parentheses 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed close parentheses equals open parentheses 3 x squared close parentheses squared minus open parentheses 5 y cubed close parentheses squared
    equals 9 x to the power of 4 minus 25 y to the power of 6
    Thus, the value is 9 x to the power of 4 minus 25 y to the power of 6
     

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

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