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3 years ago

9+(6w+3w) how do I do this it is to hardThe expression (9+6w)+3w

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Answer: 9w+9

Step-by-step explanation:

First combine like terms: 6w+3w

You can't combine 9 and 9w so that would be your answer.

Then if it calls for it, use the commutitive property to move 9w before 9.

Hope this helps!

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What is the coefficient of x2y3 in the expansion of (2x + y)5?

Zigmanuir [339]

Option C:

The coefficient of $x^{2} y^{3}$ is 40.

Solution:

Given expression:

$(2 x+y)^{5}$

Using binomial theorem:

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here $a=2 x, b=y$

Substitute in the binomial formula, we get

$(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}$

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

$$+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}$

Let us solve the term one by one.

$$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}$

$$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y$

$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

$$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}$

$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

$$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}$

Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

The coefficient of $x^{2} y^{3}$ is 40.

Option C is the correct answer.

5 0

3 years ago

Solve the following system of equations.

timofeeve [1]

+8y and -8y cross out.

So the first one is 3x=15
Second one is 2x=10

x=5
Then plug x is one of the equations

2(5)-8y=10
10-8y=10

x=5
y=0

3 0

3 years ago

Read 2 more answers

Area of a rectangle 8cm long and 4cm in height. please tell me how to do this also, I'm so confused.

Tema [17]

The area of a rectangle is easy to compute.
Area = length times height
Area = 8 cm * 4 cm = 32 square centimeters

6 0

3 years ago

I need help! who ever get this right and explain nicely then I make you brainlist.

Lelechka [254]

Answer:

1. 64

2. 72 square feet

3. 31.5 square feet

Step-by-step explanation:

For the first one use the equation A=bh.

Plug in your values: A=12.8*5.

Solve: A=64

For the second one multiply 8*3 which gives you 24. Next multiply that by 3 to give you 72 square feet.

For the third one multiply 9 by 3.5 to get 31.5 square feet.

5 0

3 years ago

Robin has a basket that has 2 oranges in it

EleoNora [17]

Answer:

it is very high because

Step-by-step explanation:

5-2+3 so maybe it a subtraction problem hope this works

3 0

2 years ago