Question

Which of the following is a factor of 2xy + 8y − 8x − 32?

5
x + 4
x2 − 4x + 16
All of the above

Answer 1

We are given

`2xy+8y-8x-32`

We can write it as

`=2y*x+2y*4-8*x-8*4`

we can see that 2y is in first two terms

and -8 is in last two terms

so, we can factor it out

`=2y(x+4)-8(x+4)`

now, we can see that x+4 is common in both terms

so, we can factor it out

`=(x+4)(2y-8)`

we can see that

x+4 is one of factor of terms

so, option-B..........Answer