Factor the expression:
-\lambda ^{3}+4\lambda ^{2}+4\lambda -16

Step-by-step explanation:

What we want to fator is:

There is no common factor, but let's factor it by grouping. The first two addends can be factor as follows:

the second addends can be factor as well:

.

Then our original expression can be rewritten like

And here the is the common factor!

Finally, we can factor the quadratic expression as a difference of squares

Ant we get

now, we can extract the negative sign from , and we get

.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4