Squaring products and factors


Assignment:

Q1. When we square a product, we square each factor in the product. For example (4b)2= 16b2. Explain why we cannot square a sum by simply squaring each term of the sum. For example, (a + b)2 is not equal to a2 + b2. Provide appropriate examples.

Q2. Take a number. Add 1. Square the result. Then subtract from that result the product of the original number times two more than the original number. What did you get? I claim you will always get 1. Can you explain?

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Algebra: Squaring products and factors
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