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kicyunya [14]
3 years ago
14

Factor the following expression completely 16x^5-x^3

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

X^(16x^2-1) factor the expression

The answer to the graph
X^3(4x-1)(4x+1)
Eduardwww [97]3 years ago
7 0

Answer:

x^3(4x + 1)(4x - 1)

Step-by-step explanation:

To start, let's note that to factor something, we need to GCF (Greatest common factor). Notice that we have a 16 and 1 as the coefficients, but because there is a 1, there is a coefficient of 1 in the GCF. Now notice that in x^5 and x^3, the GCF is x^3. So, we get x^3(16x^2 - 1). But, we are not done yet! 16x^2 - 1 is a difference of squares, where a^2 - b^2 = (a + b)(a - b), so a is 4x and b is 1, so we get (4x + 1)(4x - 1), so the final answer is x^3(4x + 1)(4x - 1).

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Pavlova-9 [17]

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Step-by-step explanation:

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5 0
3 years ago
Find the general solution of the following ODE: y' + 1/t y = 3 cos(2t), t > 0.
Margarita [4]

Answer:

y = 3sin2t/2 - 3cos2t/4t + C/t

Step-by-step explanation:

The differential equation y' + 1/t y = 3 cos(2t) is a first order differential equation in the form y'+p(t)y = q(t) with integrating factor I = e^∫p(t)dt

Comparing the standard form with the given differential equation.

p(t) = 1/t and q(t) = 3cos(2t)

I = e^∫1/tdt

I = e^ln(t)

I = t

The general solution for first a first order DE is expressed as;

y×I = ∫q(t)Idt + C where I is the integrating factor and C is the constant of integration.

yt = ∫t(3cos2t)dt

yt = 3∫t(cos2t)dt ...... 1

Integrating ∫t(cos2t)dt using integration by part.

Let u = t, dv = cos2tdt

du/dt = 1; du = dt

v = ∫(cos2t)dt

v = sin2t/2

∫t(cos2t)dt = t(sin2t/2) + ∫(sin2t)/2dt

= tsin2t/2 - cos2t/4 ..... 2

Substituting equation 2 into 1

yt = 3(tsin2t/2 - cos2t/4) + C

Divide through by t

y = 3sin2t/2 - 3cos2t/4t + C/t

Hence the general solution to the ODE is y = 3sin2t/2 - 3cos2t/4t + C/t

3 0
3 years ago
The equation of line q is y = 1/3x-7Parallel to line q is liner, which passes through the
grigory [225]

Answer:

y =  \frac{1}{3} x - 10

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence the gradient of line r is \frac{1}{3}.

Susbt. m=\frac{1}{3},

y =  \frac{1}{3} x + c

To find c, substitute a coordinate.

When x=3, y= -9,

- 9 =  \frac{1}{3} (3) + c

-9= 1 +c

c= -9-1

c= -10

Thus the equation of line r is y =  \frac{1}{3} x - 10.

7 0
3 years ago
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aalyn [17]

Answer:

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Step-by-step explanation:

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6 0
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Read 2 more answers
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