<u>Given</u>:
The given expression is 
We need to determine the expression that is equivalent to the given expression.
<u>Equivalent expression:</u>
The equivalent expression can be determined by solving the expression.
Let us solve the polynomial function by factoring.
First, we shall group the expression.
Thus, we get;

Factoring out the common term
, we get;

Thus, the expression that is equivalent to the expression
is 
Hence, the equivalent expression is 
Therefore, Option C is the correct answer.
What's the question you're asking?
AA Postulate. You have two angles available for both triangles.
Two lines are parallel if the gradient (i.e. the x coefficient) of them both is the same.
Two lines are perpendicular if the gradient has its sign changed
and has it's fraction flipped (i.e. a gradient of 2/3 would become -3/2, and a gradient of 10 would become -1/10)
THe first one is in the correct form already, with a gradient of -4.
Now we need to rearrange the second:

The second equation has a gradient of 1/4, which is indeed the negative and reversal of -4, therefore the two lines are
perpendicular.
Step-by-step explanation:
let
(-7,-8) =(x1, y1)
and (-6,7)=(x2, y2)
by the formula
d=√(y2-y1) ²+(x2-x1) ²
=√(7+8)²+(-6+7)²
=√15²+1²
= √225+1
= √226