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katovenus [111]
3 years ago
11

The square of the difference of two numbers

Mathematics
2 answers:
emmasim [6.3K]3 years ago
4 0

Answer: The difference between consecutive square numbers is always odd. The difference is the sum of the two numbers that are squared. ... The difference between alternate square numbers is always even; it is twice the sum of the two numbers that are squared.

Step-by-step explanation:

Dmitriy789 [7]3 years ago
4 0
Let’s consider 2 numbers be ‘a’ and ‘b’
Then
Square of difference of two numbers means square of difference of a-b which equals:
=(a-b)^2
=a^2+2ab+b^2
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Step-by-step explanation:

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You can identify from the figure that the length and the width of this rectangle are:

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Then, you need to substitute this lenght and this width into A=l*w:

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Now, apply Distributive property:

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Finally, you need to add the like terms. Then, you get:

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3 years ago
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