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Brrunno [24]
3 years ago
10

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
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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
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6 0
3 years ago
I need help! who ever get this right and explain nicely then I make you brainlist.
Lelechka [254]

Answer:

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Plug in your values: A=12.8*5.

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

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EleoNora [17]

Answer:

it is very high because

Step-by-step explanation:

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

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2 years ago
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