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alexira [117]
4 years ago
12

Use the Binomial Theorem to expand each binomial (5x-4y)^3

Mathematics
1 answer:
jek_recluse [69]4 years ago
5 0
You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

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

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³
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8 0
3 years ago
If your starting salary were $50,000 and you received a 4% increase at the end of every year for 15 years, what would be the tot
ycow [4]

<u>Answer-</u>

<em>The total amount you would have earned over the first 16 years is </em><em>$90047.20</em>

<u>Solution-</u>

The exponential function that would given the growth is,

P'=P(1+r)^t

Where,

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P = Current value = $50000

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t = time = 15 year (not 16 because the the increment occurs at year end and we want to get the value at the beginning of 16th year)

Putting the values,

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Therefore, the total amount you would have earned over the first 16 years is $90047.20

6 0
3 years ago
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