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fredd [130]
2 years ago
11

18x3 + 6x2y - 9x2 - 3xy factor completely

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

Answer:

\sf 3x(3x+y)(2x-1)

Step-by-step explanation:

Given expression:

\sf 18x^3 + 6x^2y - 9x^2 - 3xy

Factor out common term \sf 3x:

\sf \implies 3x(6x^2 + 2xy - 3x - y)

Factor \sf (6x^2 + 2xy - 3x - y)

Rearrange:

\sf \implies 6x^2 - 3x+ 2xy  - y

Factor pairs of terms:

\sf \implies 3x(2x-1)+ y(2x  - 1)

Factor out common term (2x - 1):

\sf \implies (3x+y)(2x-1)

Final solution:

\sf \implies 3x(3x+y)(2x-1)

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5 0
2 years ago
(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)
erma4kov [3.2K]

Answer:

5,184•b•t^6/5

Step-by-step explanation:

Here, we want to multiply the expressions

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4 0
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Solve the System by Graphing:
Marat540 [252]

Answer:

  • B) One solution
  • The solution is  (2, -2)
  • The graph is below.

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

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

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The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

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Use front-end estimation to estimate the sum. 56.7 + 23.44
Reika [66]
57+23 = 80
not rounded it's 80.14
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3 years ago
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