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3 years ago

HURRY PLEASE! (g+2)^5

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Step-by-step explanation:

We need to use the binomial theorem/Pascal's triangle here.

(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.

5 choose 0 = 1

5 choose 1 = 5

5 choose 2 = 10

5 choose 3 = 10

5 choose 4 = 5

5 choose 5 = 1

And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.

Therefore we get

g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5

which is

g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32

Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)

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Step-by-step explanation:

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2 years ago

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3 years ago

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3 years ago

Read 2 more answers

What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2

Oliga [24]

Given:

$\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

$\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

$\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}$

Subtract $\dfrac{9}{10}$ from both sides.

$\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}$

$\dfrac{x}{5}=\dfrac{15-9}{10}$

$\dfrac{x}{5}=\dfrac{6}{10}$

$\dfrac{x}{5}=\dfrac{3}{5}$

Multiplying both sides by 5, we get

$x=3$

So, the missing value is 3.

Therefore, the correct option is C.

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3 years ago

Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?

LenaWriter [7]

Answer:

The larger integer is $4$ .

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to $2$ more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be $x$ and $x+1$ , where the smaller integer is $x$ and larger integer is $x+1$ .

Now, according to question.

Two times the smaller integer $=$ $2$ more than the larger integer.

$\implies 2x=x+1+2$

$\implies 2x-x=3$

$\implies x=3$

So, the smaller integer is $3$ , and the larger integer is $3+1=4.$

Hence, the larger integer is $4.$

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3 years ago