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Paha777 [63]
3 years ago
14

Use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3​

Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms

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Aha please help!!!!! im a bit confused lol
Stels [109]

Answer:

e : g = 2 : 7

Step-by-step explanation:

e/f = 3/7

e = 3f/7

f/g = 2/3

g = 3f/2

e/g = (3f/7)/(3f/2) = 2/7

3 0
3 years ago
How can I solve this?
kotegsom [21]
I completely forgot how to do this but maybe multiply the angles I’m so sorry
4 0
3 years ago
2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
Savatey [412]

Answer: \frac{1}{6} or 1:6

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

Evaluating, you get:

\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

4 0
4 years ago
8y and y are like terms<br><br> true<br> or<br> false
castortr0y [4]

Answer:

True

Step-by-step explanation:

Hope this helps :)

7 0
2 years ago
Read 2 more answers
Can y’all please explain this to me, I know the answer but I don’t know how to get it thanks
EleoNora [17]

Answer:

250 jars

6 hours

Step-by-step explanation:

We know they make 50 jars in an hour, so 50 times 5 is 250 jars in 5 hours. Since 300 is 50 more than 250, and we know 50 times 6 is 300, we can say that we would need 6 hours to make 300 jars.

8 0
3 years ago
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