How do you multiply #(x - 7) (x + 7)#?

Answer 1

Nathan Axel

#=color(blue)(x^2-49#

#color(blue)((a-b)(a+b) = a^2-b^2#

The same property can be applied to the expression #(x-7)(x+7)# where #color(blue)(a)=x, color(blue)(b)=7#

So, #(x-7)(x+7) = x^2-7^2#

#=color(blue)(x^2-49#

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Answer 2

Eva Adamson

To multiply (x - 7) (x + 7), you can use the distributive property or the FOIL method.

Using the distributive property:

(x - 7) (x + 7) = x(x) + x(7) - 7(x) - 7(7) = x^2 + 7x - 7x - 49 = x^2 - 49

So, the product is x^2 - 49.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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