(a)
To calculate: The difference between the squares
(a)
Answer to Problem 64E
The required differences are
Explanation of Solution
Given information:
The diagram of the squares is:
Calculation:
Consider the first and second square:
Subtract
Consider the second and third square:
Subtract
Consider the third and forth square:
Subtract
Hence, the required differences are
(b)
To find: The validity of the given equation with respect to the difference of squares.
(b)
Answer to Problem 64E
The required equation is valid.
Explanation of Solution
Given equation:
Consider two
Substitute
It is seen that the equation is valid for the above differences.
Hence, the required equation is valid.
(c)
To prove: The polynomial identity given in the question.
(c)
Explanation of Solution
Given equation:
Proof:
Consider two quadratic equations:
Consider the left hand side of the equation:
Hence, the polynomial identity is proved.
Chapter 4 Solutions
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