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Crank
3 years ago
13

Expand (x-4)^4 with binomial theorem or pascal's triangle SHOW ALL STEPS!

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

x^4 - 16x^3 + 96x^2 -256x + 256

Step-by-step explanation:

The coefficients of this using the pascal triangle is ;

1 4 6 4 1

Thus, we have that;

1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4

= x^4 - 16x^3 + 96x^2 -256x + 256

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How to do this?
Mandarinka [93]
This equation uses two properties of logarithms:

\ln(g^x) = x \ln(g)

\ln(a) + \ln(b) = \ln(ab)

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15


7 0
4 years ago
Can you help me on this mathswatch question?
Anna007 [38]

Where is the Question? or am i just blind

4 0
3 years ago
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Please Help me with these questions?
Verizon [17]
1 = 12, 2 = -6, 3 = -2, 4 = 3, 5 = 15, 6 = -13, 7 = -15, 8 = 11, 9 = -12, 10 = 0, 11 = -20
8 0
3 years ago
Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of
IrinaVladis [17]

Divide the area into 6 portions and find the sum of each one to find the value of the final integral:

f(x)dx = 2(8+4)/2 + 1 (8+6)/2 + 2 (6+10)/2 + 1(10+10)/2 + 2 (10+12)/2 + 1 (12+16)/2

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3 0
3 years ago
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Continue the pattern: 3-6,12,4,20​
Brrunno [24]

Answer:

The most likely solution sought is 13:

Beginning with 3: subtract 9, add 18, subtract 8, add 16, subtract 7, add 14, etc. Each time, reduce the number subtracted by one, and double that number to add.

So, beginning with 3: 3-9 = -6, -6+2(9) = 12, 12-8 = 4, 4+2(8) = 20, 20-7 = 13, etc.

*****

Step-by-step explanation:

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3 years ago
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