Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
-2+4=2
2-4=-2
1-8=-7
Thus it should be (-4,2),
This means we should get (X-4)(X+2)
Group and factor
undistribute then undistribute again
remember
ab+ac=a(b+c)
this is important
6d^4+4d^3-6d^2-4d
undistribute 2d
2d(3d^3+2d^2-3d-2)
group insides
2d[(3d^3+2d^2)+(-3d-2)]
undistribute
2d[(d^2)(3d+2)+(-1)(3d+2)]
undistribute the (3d+2) part
(2d)(d^2-1)(3d+2)
factor that difference of 2 perfect squares
(2d)(d-1)(d+1)(3d+2)
77.
group
(45z^3+20z^2)+(9z+4)
factor
(5z^2)(9z+4)+(1)(9z+4)
undistribuet (9z+4)
(5z^2+1)(9z+4)
Answer:
The solids <u>are</u> similar.
Step-by-step explanation:
Every linear dimension of the larger solid is twice that of the smaller solid. Since the scale factor is the same in every direction, the figures <u>are similar</u>.
D - -x^2 + 3x + 7
To find this, first write out the equation:
(3x + 1) - (x^2 - 6)
Distribute the negative into x^2 and -6 so you're equation now looks like this:
3 x + 1 - x^2 + 6
Combine like terms and arrange the equation into ax^2 + bx + c to get the final answer of:
-x^2 + 3x + 7
Hope this helps!
