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3 years ago

Factor completely 15a^2b-10ab^2

Mathematics

1 answer:

ozzi3 years ago

6 0

Find the Greatest Common Factor (GCF)

GCF = 5ab

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5ab(15a^b/5ab + -10ab^2/5ab)

Simplify each term in parentheses

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X³ by a³ + a³by x³=p x³by a³- a³by ³=q eliminate x

sasho [114]

Answer:

Step-by-step explanation:

$\frac{x^3}{a^3} +\frac{a^3}{x^3} =p\\\frac{x^3}{a^3} -\frac{a^3}{x^3} =q\\adding\\2\frac{x^3}{a^3} =p+q\\\frac{x^3}{a^3} =\frac{p+q}{2} \\substitute~in~first\\\frac{p+q}{2} +\frac{2}{p+q} =p\\\frac{(p+q)^2+4}{2(p+q)} =p\\(p+q)^2+4=2p(p+q)\\p^2+q^2+2pq+4-2p^2-2pq=0\\q^2-p^2+4=0\\q^2=p^2-4$

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2 years ago

Just trying to finish this so I can get my stanceboy racecar back

Free_Kalibri [48]

Answer:

x ≥ 4 AND x + y ≤ 10

Step-by-step explanation:

If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:

x + y ≤ 10.

Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.

x ≥ 4.

Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.

Hope this helped!

6 0

2 years ago

Solve the equation. Check your solution. −4x − 8x + 17 = 23

Novay_Z [31]

-4x -8x +17 = 23
-12x +17 = 23
-12x=6
x= -0.5
to check plug back in the equation

7 0

3 years ago

Read 2 more answers

at freds house, santa ate the same number of suger cookies and chocolate chip cookies. Twice the number of sugar cookies he ate

lawyer [7]

751.2÷25= need help showing the way to get to the answer

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3 years ago

Read 2 more answers

Select the polynomial that is a perfect square trinomial. 9x2 9x 1 36b2 − 24b 8 16x2 24x 9 4a2 − 10a 25.

alexgriva [62]

The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

<h3>What is square?</h3>

The square can be defined as a two-dimensional figure that has 4 equal sides.

Given are the equations of the areas of the polynomial.

Option C: $16 x^2 + 24x +9$

We can write the above equation as,

$(4x)^2 + 2 \times 4x \times 3 + (3)^2$

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

Here a = 4x and b = 3, so

$16x^2 + 24x+9 = (4x+3)^2$

The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.

Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

To know more about the area of the square, follow the link given below.

brainly.com/question/1658516.

5 0

1 year ago