Concept explainers
To determine the square the sum of two quantities, square the difference of two quantities, and how to find the product of a sum of two quantities and a difference of two quantities.
Answer to Problem 61HP
Explanation of Solution
Given:
The square the sum of two quantities; square the difference of two quantities; product of a sum of two quantities and a difference of two quantities.
Formula used:
Calculation:
The square the sum of two quantities can be represented as,
This can also be represented as,
Now,
The square difference of two quantities can be represented as,
This can also be represented as,
Now,
The product of a sum of two quantities and a difference of two quantities can be represented as,
This can also be represented as,
Now, removing
Conclusion:
Therefore, the square the sum of two quantities is
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