Decide which of the following products is easiest to

talpajocotefnf3

talpajocotefnf3

Answered question

2022-03-25

Decide which of the following products is easiestto find using the difference of two squares.Solve, showing how you used it and explain whyyou chose the expression, over the other three
17×27
342×318
74×86
621×80

Answer & Explanation

armejantm925

armejantm925

Beginner2022-03-26Added 20 answers

Step 1
The general form of the difference of two squaresis,
x2y2=(x+y)(xy)
From the given products, the product 74×86 is one product which can be written as the difference of two squares. Here, 74 and 86 can be obtained by subtracting and adding the same value in 80 respectively.
Step 2
Number 74 can be rewritten as (806) and number 86 can be rewritten as (80+6)
The product of 74 and 86 is,
74×86(806)×(80+6)
=(80)2(6)2
So,the easiest product to find the dsfference between two squares is 74×86
Thus,the third option in the correct option

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