Maths-
General
Easy

Question

Write the product in the standard form. open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses

Hint:

The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign

The correct answer is: 4/9


    open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses equals 1 fourth x open parentheses 1 fourth x plus 2 over 3 close parentheses minus 2 over 3 open parentheses 1 fourth x plus 2 over 3 close parentheses

    equals 1 fourth x open parentheses 1 fourth x close parentheses plus 1 fourth x open parentheses 2 over 3 close parentheses minus 2 over 3 open parentheses 1 fourth x close parentheses minus 2 over 3 open parentheses 2 over 3 close parentheses

    equals 1 over 16 x squared plus 1 over 6 x minus 1 over 6 x minus 4 over 9
    equals 1 over 16 x squared minus 4 over 9
    Final Answer:
    Hence, the simplified form of open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses text  is  end text 1 over 16 x squared minus 4 over 9.
     

    This question can be easily solved by using the formula
    (a + b)(a - b) = a2 - b2

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