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3 years ago

(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)

Mathematics

1 answer:

White raven [17]3 years ago

6 0

Answer:

$\boxed{-2; 6}$

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³? Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5 + 6 = 1

Then, the addition looks like this:

$\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}$

The numbers in the boxes are -2 and 6.

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Factor this expression completely.<br><br> u^3 - v^3

Musya8 [376]

Completely factored form of u^3-v^3 is:

$(u-v)(u^2+uv+v^2)$

Step-by-step explanation:

Algebraic formulas are used to factorize the expression.

Given

$u^3 - v^3$

The formula involving cube with negative sign is:

$a^3-b^3 = (a-b)(a^2+ab+b^2)$

Using this formula:

$u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)$

Hence,

Completely factored form of u^3-v^3 is:

$(u-v)(u^2+uv+v^2)$

Keywords: Factorization

Learn more about factors at:

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7 0

2 years ago

What is the center and radius of the circle defined by the equation (x-4)^2+(y-7)^2=49

AlekseyPX

Answers:

Center = (4, 7)

Radius = 7

===========================================================

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

This general circle has these properties:

Center = (h,k)
Radius = r

Based on the equation your teacher gave you, we see that

h = 4
k = 7
r = 7, since 7^2 = 7*7 = 49

Therefore, this circle has center = (4,7) and radius = 7

Side note: The center's y coordinate and radius aren't always the same value.

4 0

2 years ago

Read 2 more answers

What line has slope of 5/8 and goes through the point (2,-3)

sweet-ann [11.9K]

Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34

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3 years ago

On Monday, during a one day sale, the price of a suit was decreased by 20%. On Tuesday, the price of the suit was changed back t

nignag [31]

Answer:

25%

Step-by-step explanation:

If we consider the original price of the piece of suit is x.

Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.

Therefore, the new price of the suit on Monday is $x( 1 - \frac{20}{100}) = 0.8x$ .

Now, the price of the suit on Tuesday was changed back to the original price i.e. x.

Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.

So, the percentage change in price of the suit on Tuesday is $\frac{0.2x}{0.8x} \times 100 = 25$ %. (Answer)

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3 years ago

Practice and problem lesson 25

OverLord2011 [107]

Answer:

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Step-by-step explanation:

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3 years ago

(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)​

(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)