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VashaNatasha [74]

3 years ago

12

Expand and simplify (3x-2)^2

1 answer:

nasty-shy [4]3 years ago

5 0

(3x - 2)^2 is the same as:

(3x - 2)(3x - 2)

use the FOIL method: First, Outside, Inside, Last

3x(3x) = 9x²
3x(-2) = -6x
-2(3x) = -6x
-2(-2) = 4

9x² - 6x - 6x + 4

Combine like terms

9x² (- 6x - 6x) + 4

9x² - 12x + 4 is your answer

hope this helps

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Answer:

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Step-by-step explanation:

f(x)=13x+100
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3 years ago

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3 years ago

Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .

babunello [35]

Answer:

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Step-by-step explanation:

We are given that linear differential equation

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Auxillary equation

$D^2-3=0$

$D=\pm \sqrt3$

C.F= $C_1e^{\sqrt3t}+C_2e^{-\sqrt3}$

P.I= $\frac{8e^{3t}+4sin t}{D^2-3}$

P.I= $\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}$

P.I= $e^{ax}{\phi (D+a)}$ and $P.I=\frac{sinax}{(\phi D)}$ where D square is replace by - a square

P.I= $-\frac{4}{3}e^{3t}- sint$

Hence, the general solution

G.S=C.F+P.I

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3 years ago