Question

How could you use special factoring patterns to quickly rewrite the difference 50² - 45² as a product? Explain.

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Answer 1

Answer: 475

Explanation:

Using identity:
`a^2 - b^2` = (a+b)(a-b)

--> (50+45)(50-45)

= 95 x 5

= 475

Answer 2

95 * 5

Explanation:

we know, a² - b² = (a + b) (a - b)
So, we can rewrite 50² - 45² using the above equation
as (50 + 45)(50-45)
which is, 95 * 5 [Your product]
= 475