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V125BC [204]
1 year ago
10

The 3rd term of (a-b)4 is

Mathematics
1 answer:
fgiga [73]1 year ago
4 0

The third term of the expansion is 6a^2b^2

<h3>How to determine the third term of the expansion?</h3>

The binomial term is given as

(a - b)^4

The r-th term of the expansion is calculated using

r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)

So, we have

3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)

Evaluate the sum and the difference

3rd term = C(4, 2) * (a)^2 * (-b)^2

Evaluate the exponents

3rd term = C(4, 2) * a^2b^2

Evaluate the combination expression

3rd term = 6 * a^2b^2

Evaluate the product

3rd term = 6a^2b^2

Hence, the third term of the expansion is 6a^2b^2

Read more about binomial expansion at

brainly.com/question/13602562

#SPJ1

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Use the substitution method to solve the system of equations. y = -8x 4x - y = 3 O AG-2 O B. (6-1 oc c. (6.-4 D. G-4​
Triss [41]
<h2>x = 1/4</h2><h2>y = -2</h2><h2>______________</h2>

<h2>Known : </h2>

y = -8x

4x - y = 3

<h2>Asked: </h2>

Use the substitution method to solve the system of equations ?

<h2>Answered:</h2>

<h3>Substitution y</h3>

4x - y = 3

4x - (-8x) = 3

4x + 8x = 3

12x = 3

x = 3/12

x = 1/4

<h3>Substitution x</h3>

4x - y = 3

4(1/4) - y = 3

4/4 - y = 3

1 - y = 3

-y = 3 - 1

-y = 2

y = -2

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST <br><br> 5 = h/3 - 17 <br> h = ?<br> (h/3 is a fraction)
Nat2105 [25]

Answer:

h = 66

Step-by-step explanation:

We are given the equation of one variable h and we have to solve the equation for h.

The equation is given by 5 = \frac{h}{3} - 17

⇒ 5 + 17 = \frac{h}{3} {Adding 17 to both sides}

⇒ 22 = \frac{h}{3}

⇒ h = 22 × 3 {Since we know that if \frac{a}{b} = c then we can write a = bc}

⇒ h = 66 (Answer)

7 0
3 years ago
Read 2 more answers
Find the first derivative for y = f(x). fox ) 3x² -5x-1 at a Pocat where a = 4​
Brums [2.3K]

Answer:

Step-by-step explanation:

f(x) = 3x² -5x - 1

f'(x) =2*3x - 5*1 +0

     = 6x - 5

f'(4) = 6*4 - 5

      = 24 - 5

      = 19

3 0
3 years ago
What is −300 ÷ (−13) = and how would i write out this problem to solve?
never [62]

Answer:

  23 1/13

Step-by-step explanation:

You have done a pretty good job of writing the problem, negative 300 divided by negative thirteen. It can be translated directly to your favorite calculator (see attachment) for a solution.

If you want to perform the division by hand, the particular method of writing the problem depends on the method of division you want to use. (Several styles are taught these days). Numerous web sites and videos explain <em>long division</em> in all its detail. The second attachment shows an example where a decimal fraction result is obtained. The decimal fraction is an infinite repeating decimal with a 6-digit repeat.

For starters, you would generally convert both numbers to positive numbers, since the result of 300/13 is the same as the result of -300/-13 and positive numbers are easier to deal with.

___

<em>Comment on symbols</em>

(The symbol ÷ generally means the same thing as the symbol /. Both mean "divided by". In some cases, the symbol ÷ is given the meaning "everything to the left of it divided by everything to the right of it." This is often the case when it is used as part of a compound fraction: 3/5÷4/3, for example. The preferred representation of such a division is (3/5)/(4/3), with parentheses clearly identifying numerators and denominators.)

8 0
3 years ago
The ratio of dogs to cats is 2 to 3. There are 15 pets total. How many dogs are there? How many cats are there?
ElenaW [278]
So there are 2 dogs to every 3 cats (put into words)

in order to reach 15 total multiply both 2 and 3 by 3

2x3 = 6
3x3 = 9

so there are 6 dogs and 9 cats
6 0
2 years ago
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