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malfutka [58]
3 years ago
9

Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Mathematics
2 answers:
Ghella [55]3 years ago
4 0

Answer:

34

Step-by-step explanation:

Annette [7]3 years ago
3 0

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

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Step-by-step explanation:

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3 years ago
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2 years ago
What is 3.659090909090909 as a fraction?
Radda [10]
There is not much that can be done to figure out how to write 3.659090909090909 as a fraction, except to literally use what the decimal portion of your number, the <span>.659090909090909 </span>, means.

Since there are 16 digits in 659090909090909 , the very last digit is the "10000000000000000th" decimal place.

So we can just say that .659090909090909 is the same as 659090909090909 /10000000000000000.

<span>The fraction fmtterm: Can't handle [-2147483648/-2147483648] 3? is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by -2.14748e+09.
</span>

<span>Why divide by -2.14748e+09? -2.14748e+09 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 6.59091e+14 and 1e+16.
So, this fraction reduced to lowest terms is</span>

<span>So your final answer is: <span>3.659090909090909 </span>can be written as the fraction</span>

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