All categories

3 years ago

Expand the polynomial: (6x^2−11y^3)(−6x^2−11y^3)

Mathematics

1 answer:

a_sh-v [17]3 years ago

3 0

on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or $(6x^2-11y^3)(-6x^2-11y^3)$ is $121y^6 -36x^4$ .

<u>Step-by-step explanation:</u>

We have , (6x^2−11y^3)(−6x^2−11y^3):

$(6x^2-11y^3)(-6x^2-11y^3)$

⇒ $(6x^2-11y^3)(-6x^2-11y^3)$

We know that :

$(a +b)(c+d) = (ac+ad+ad+bd)$

⇒ $(6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))$

⇒ $(-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)$

⇒ $(-36x^4+ 121y^6)$

⇒ $121y^6 -36x^4$

Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or $(6x^2-11y^3)(-6x^2-11y^3)$ is $121y^6 -36x^4$ .

You might be interested in

What type of graph displays information by using a column vertically or horizontally? A) Pictograph B) Scatterplot C) Bar Graph

suter [353]

I think it's the bar graph.

Hope this helps !

Photon

4 0

3 years ago

Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by

ivanzaharov [21]

Step-by-step explanation:

$T=2\pi\sqrt{\frac{l}{g}}$

$T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))$

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

So, $\Delta T=T\frac{1}{2}\frac{\Delta l}{l}$

b. For an increase of 2%, that is:

$\frac{\Delta l}{l}=0.02$

$\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%$

7 0

3 years ago

Read 2 more answers

The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by R(x)equals=0.210.21x. The p

Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0

3 years ago

4, 4, 5, 7, 10, what's the next number in the pattern

Anna007 [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A factory adds three red drops and two blue drops of coloring to white paint to make each pint purple The factory will make 50 g

Radda [10]

30 gallons of red paint & 20 gallons of blue paint

Step-by-step explanation:

The ratio of red to blue paint drops to make purple paint is 3 : 2

Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)

If 5 in the ratio = 50; what about 2 & 3

5 = 50

2 = x

After cross multiplication;

5x = 50 * 2

X = 100/5

X = 20

The same for ratio 3

5 = 50

3 = y

5y = 50 * 3

y = 150/5

y = 30

The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint

Learn More:

For more on ratios check out;

brainly.com/question/11662922

#LearnWithBrainly

7 0

3 years ago