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xxMikexx [17]
2 years ago
7

Simplify (ab2 + 10 + a) – (6ab2 - 2ab + 8). I want it with steps please

Mathematics
1 answer:
lara [203]2 years ago
4 0
<h3><u>Answer</u><u>:</u></h3>

  • -5ab² + 2ab + a + 2

<h3><u>Solution</u><u>:</u></h3>

➙ ( ab² + 10 + a ) - ( 6ab² - 2ab + 8 )

➙ ab² + 10 + a - 6ab² + 2ab - 8

➙ ab² - 6ab² + a + 2ab + 10 - 8

➙<u> -5ab² + 2ab + a + 2</u>

<u>➲</u><u> </u><u>More </u><u>information</u><u>:</u>

  • Polynomial s in two variables are algebraic expressions consisting of terms in the form of a x n y m .
  • When adding or subtracting terms that have exactly the same same variable, we either add or subtract the coefficients .
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Given g(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%5E2%2B2x%7D" id="TexFormula1" title="\frac{3}{x^2+2x}" alt="\f
sweet [91]

We know that g(x) = \frac{3}{x^2+2x}

We have to find g^-1(x)  or inverse of g(x)

Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y

g(x) = y = \frac{3}{x^2+2x}

⇒ y × (x² + 2x) = 3

⇒ yx² + 2xy = 3

⇒ yx² + 2yx - 3 = 0

Determining the roots of x using:

x = \frac{-b + \sqrt{b^{2} - 4ac}}{2a} OR x = \frac{-b - \sqrt{b^{2} - 4ac}}{2a} , where a is coefficient of x², b is coefficient of x, and c is the constant

⇒ x = \frac{-2y + \sqrt{4y^2 - 4(2y)(-3)}}{2y} OR x = \frac{-2y - \sqrt{4y^2 - 4(2y)(-3)}}{2y}

⇒ x = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

Hence, g^-1(x) = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

7 0
3 years ago
Read 2 more answers
Which value, when placed in the circle, would result in a system of equations with infinitely many solutions?
Arlecino [84]

Answer:

A. -10

Step-by-step explanation:

I think you would do like this:

y=2x-5

what about 2y(2x-5) times 2)

so 2y=4x- (-10)

5 0
3 years ago
Perform the indicated operation.<br><br> 7 + 9 + (-4)<br><br> 20<br> -20<br> 12<br> -12
aniked [119]
Hi there,

Remove parenthesis, 
7 + 9 + (-4)

Then, use the addition and subtraction rules:
7 + 9 - 4

Hence, the answer is 12 (C)

Hope this helps :)


3 0
4 years ago
I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons
charle [14.2K]

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

\frac{1}{3} =\frac{2}{6}

\frac{2}{6} +\frac{1}{6} =\frac{3}{6}

Then simplify the fraction

\frac{3}{6} =\frac{1}{2}

Then subtract how many gallons you have from how many you want

3 -\frac{1}{2} = 2\frac{1}{2}

You will need 2.5 gallons to make 3 gallons

3 0
3 years ago
8(r+11) distributive property
ELEN [110]

Answer: 8(r+11) = 8r+88

Step-by-step explanation:

8*r+8*11

4 0
3 years ago
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