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2 years ago

Factorise: 8+(b^2-2)^4-6(b^2-2)^2

Mathematics

1 answer:

Ronch [10]2 years ago

8 0

Answer:

Step-by-step explanation:

Let u = (b^2-2)^2

Now you have 8+u^2-6u = u^2-6u+8

= (u-4)(u-2)

= ((b^2-2)^2-4)((b^2-2)^2-2)

= (b^2-4b)(b^2-4b+2)

= b(b-4)(b-2- $\sqrt{6}$ )(b-2+ $\sqrt{6}$ )

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egoroff_w [7]

Answer:

a, c

Step-by-step explanation:

Let's start with one of each choice. That'll be 3 * 4 * 3 * 3 * 10 = 1080 pizzas. As for the second one, this time the toppings won't be 10 it will be 10 * 9 * 8 because we have 10, and then 9, and then 8 topping choices. This gives us 1080 * 9 * 8 = 77,760. Hope this helps!

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2 years ago

Read 2 more answers

The prime factors of a number are 2, 2, 2, and 5. What is the number?

fgiga [73]

Answer: 40

Step-by-step explanation:

Since 40 could be = 1 x 40, 2 x 20, 4 x 10, or 5 x 8.

The Factors of 40 will therefore be: 1, 2, 4, 5, 8, 10, 20, 40.

The Prime factor then is: 2, 2, 2, 5

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2 years ago

0.25k+1.5-k-3.50.25k+1.5−k−3.5. please I need help who ever answers it first will become brainliest

Vilka [71]

Answer:

0.25k+1.5−k−3.5

Subtract k from 0.25k.

−0.75k+1.5−3.5

Subtract

3.5 from 1.5.

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Step-by-step explanation:

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2 years ago

Find the second derivative of 2x^3-3y^2=8

Umnica [9.8K]

Answer:

$\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

Step-by-step explanation:

Find the first implicit derivative using implicit differentiation

$2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}$

Use the substitution of dy/dx to find the second derivative (d²y/dx²)

$\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}$

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2 years ago

True or false - Agriculture and trade influenced the growth of civilization in ancient Egypt.

Svetlanka [38]

Answer:

The answer is True.

Step-by-step explanation:

The earliest civilizations developed between 4000 and 3000 BCE, when the rise of agriculture and trade allowed people to have surplus food and economic stability.

Hope this helps you!

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2 years ago