Factor completely 50a2b5 – 35a4b3 + 5a3b4
answer
10b2 – 7a2 + ab
a2b3(50b2 – 35a2 + 5ab)
5(10a2b5 – 7a4b3 + a3b4)
5a2b3(10b2 – 7a2 + ab)

The factored form of the given expression is

Step-by-step explanation:

We have been given the expression

In order to factor it completely we can check for the GCF (greatest common factor) among all the three terms

The GCF is

On factor out the GCF, we are left with

Therefore, the factored form of the given expression is

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

lo.lll

step-by-step explanation: