Maths-
General
Easy

Question

Write the product in the standard form. ( 2 over 5𝑥 + 1 fifth)2

hintHint:

The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2

The correct answer is: 1/25


    open parentheses 2 over 5 x plus 1 fifth close parentheses squaredcan be written as open parentheses 2 over 5 x plus 1 fifth close parentheses open parentheses 2 over 5 x plus 1 fifth close parentheses
    open parentheses 2 over 5 x plus 1 fifth close parentheses open parentheses 2 over 5 x plus 1 fifth close parentheses equals 2 over 5 x open parentheses 2 over 5 x plus 1 fifth close parentheses plus 1 fifth open parentheses 2 over 5 x plus 1 fifth close parentheses

    equals 2 over 5 x open parentheses 2 over 5 x close parentheses plus 2 over 5 x open parentheses 1 fifth close parentheses plus 1 fifth open parentheses 2 over 5 x close parentheses plus 1 fifth open parentheses 1 fifth close parentheses

    equals 4 over 25 x squared plus 2 over 25 x plus 2 over 25 x plus 1 over 25
    equals 4 over 25 x squared plus 4 over 25 x plus 1 over 25
    Final Answer:
    Hence, the simplified value of open parentheses 2 over 5 x plus 1 fifth close parentheses squared text  is  end text 4 over 25 x squared plus 4 over 25 x plus 1 over 25
     
      

    This question can be easily solved by using the formula
    (a + b)2 = a2 + 2ab + b2

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