Find the product.?

Question

[(x-7)+y] [(x-7)-y]

Answer 1

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First multiply through using FOIL:

First: (x - 7)(x - 7)

Outer: -y(x - 7)

Inner: y(x - 7)

Last: - y²

The outer and inner terms cancel and you get:

(x - 7)² - y²

If you recognize that you have a = x - 7, and b = y, then you might have (a + b)(a - b) which results in a difference of squares (a² - b²). Either way, you get to the same result.

(x - 7)² - y²

Finally, expand (x - 7)²

(x² - 14x + 49) - y²

Answer 2

Difference of squares so it's (x-7)^2 - y^2

Answer 3

[(x-7)+y] [(x-7)-y] = (x-7)^2 - y^2 = x^2-14x+49 - y^2

Answer 4

[(x-7)+y] [(x-7)-y]

(x-7)^2 - y^2

x^2 - 14x +49 - y^2

Answer 5

(x^2 - 14x + 49) -y^2

I'm 90% sure. 10% is because I did it in my head :[