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kvasek [131]
3 years ago
10

Find the product of (x + 5)(x − 5) and show work

Mathematics
2 answers:
AleksandrR [38]3 years ago
8 0

(x + 5) * (x − 5) =

x² - 25

----------------

x * x = x² and 5 * (-5) = -25

Drupady [299]3 years ago
4 0

This is a special pattern of multiplication, because it is the sum of two terms multiplied by their difference.

In this case, the result is the difference of the squares of the two numbers:

(a+b)(a-b) = a^2-b^2

So, in this case, the result is the square of x minus the square of 5:

(x+5)(x-5) = x^2-5^2 = x^2-25

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3 years ago
Find and simplify the difference quotient f(x + 1) – f(x) for the following function.
ra1l [238]

In your situation you said that

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Putting those together, you'd have f(x) =  b because 0\cdot x+b=b.

To evaluate the difference quotient, first find each piece on it's own:

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So putting those together:

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Remember that the difference quotient is basically finding the slope of something.  Since you were given that the slope is 0, the difference quotient should work out to match that.

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Ede4ka [16]

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You can use the following formula to solve this kind of problems,

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So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

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5 0
2 years ago
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