The product of the sum of a and b and their difference.

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Step-by-step explanation:

The product of the sum of a and b and their difference:

(a + b)(a - b) = a² - b²

Proof:

L = (a + b)(a - b) use FOIL

L = (a)(a) + (a)(-b) + (b)(a) + (b)(-b)

L = a² - ab + ab - b² combine like terms

L = a² - b² + (-ab + ab)

L = a² - b²

R = a² - b²

L = R

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gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

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*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)