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How do you multiply #(7+sqrt(5b))(7–sqrt(5b))#?

Answer 1

Isaiah Anthony

# = color(blue)(49 - 5b#

This is of the form : # color(blue)((a+b)(a-b) = a^2 - b^2# So , #(7+sqrt(5b))(7–sqrt(5b)) = 7^2 - sqrt((5b))^2#

# = color(blue)(49 - 5b#

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Answer 2

Eva Abramson

To multiply (7+sqrt(5b))(7–sqrt(5b)), you can use the formula for multiplying two binomials: (a+b)(a-b) = a^2 - b^2. Applying this formula, we get:

(7+sqrt(5b))(7–sqrt(5b)) = 7^2 - (sqrt(5b))^2 = 49 - 5b.

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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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