Question

Hello, I was wondering if you could help me with this question: Step 8 - simplify

Answer 1

In this prooof, we need to complete the 8th step to simplify the expression.

We are given:

`(1+d^2)+(e^2+1)=d^2-2de+e^2`

Combining like terms on the left-hand side, we get

`2+d^2+e^2=d^2-2de+e^2`

Subtracting the d squared term from each side, we have:

`2+e^2=-2de+e^2`

Next, we subtract the e squared term from each side:

`2=-2de`

Finally, we divide by -2 on each side:

`-1=de`

Since d represents the slope of line AB and e represents the lope of line BC, we show that the slopes multiplied together give us -1.