Question

Factor y2 + 10z - 10y - yz.

Answer 1

Factor by grouping.

GCF of y^2 and -yz
GCF of 10z and -10y

y(y-z)+10(z-y)

Now, (z-y) is the opposite of (y-z), so turn the +10 into -10 and change sign inside parenthesis.

y(y-z) - 10 (y-z)

(y-10)(y-z)

Answer 2

Hey!

First, let's write the problem.

`y^2+10z-10y-yz`
First, we have to factor the y from
`y^2-10y`, so we would be left with,

`y\left(y-10\right)`
Next, we factor the
`-z` from
`10z-yz`. This would leave us with,

`=y\left(y-10\right)-z\left(y-10\right)`
The common term is
`\left(y-10\right)`, so let's factor it out.

`=\left(y-10\right)\left(y-z\right)`
That would be our final answer.

Thanks!
-TetraFish