Given:

To find:
The product of the expression.
Solution:

Take out -4 as a common factor in Last two terms.

Make sure the terms in both brackets must be same.
Take out common factor (2y - 5) from both terms.

4 can be written as 2².

Using the identity: 
.
The product is
.
For this problem you'll get a number, find it's opposite and sum 96 to it. The equation used will be:
x = -x + 96
Where:
x = a number
-x = the opposite of x
So:
x = -x + 96
x + x = 96
2x = 96
x = 96 / 2
x = 48
And now, if you do the sum to prove your answer:
48 - 96 = -48
Answer:

Hope it helped,
BioTeacher101
Answer:
h(x) = -2x^2 -2
Step-by-step explanation:
You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).
The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...
(x, f(x) -3)
You want to name this (x, h(x)), so we have ...
h(x) = f(x) -3
h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)
h(x) = -2x^2 -2 . . . . . simplify
IF K is the midpoint of JL then JK = KL, so...
5x + 1 = 7x - 3
5x = 7x - 4
-2x = -4
x = 2
JK = 5(2) + 1 = 11
JL = 2 * JK = 2 * 11 = 22
We can isolate y in the linear equation to get:
y = 4x - 8
<h3>How to isolate the variable?</h3>
Here we have the linear equation:
8x - 2y = 16
Now, remember that we can perform the same operation in both sides of the equation, and the equation don't changes.
To isolate y, we can start by subtracting 8x in both sides, so we get:
-2y = 16 - 8x
Now we should divide both sides by -2:
y = (16 - 8x)/(-2) = -8 + 4x
y = 4x - 8
If you want to learn more about linear equations:
brainly.com/question/1884491
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