How do i completely factor 9c^4-36c^2?

2 answers:

8 0

You take out the biggest factor of 9 and 36 which is 9c^2. The factors both have the c variable in common so you take the least exponent and put it with the gcf.

9c^2(c^2+4)

velikii [3]3 years ago

3 0

You would do
(3c^2+6c)(3c^2-6c)
since 3c^2 squared becomes 9c^4
and 6c times negative 6c becomes -36c^2

I just checked over and it would become
3c^2+6c[3c(c-2)]

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Need help will give thanks and brainliest

Y_Kistochka [10]

Answer:

$y=\frac{2}{3} x-1$

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: $\frac{y_2-y_1}{x_2-x_1}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (3,1) and (6,3)

$\frac{y_2-y_1}{x_2-x_1}$

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

Now, plugging this back into $y=mx+b$ , our equation looks like this:

$y=\frac{2}{3} x+b$

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

$1=\frac{2}{3}*3+b\\1=2+b$