Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16
= ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16
- 1
= (4
)² - 1²
= (4
- 1)(4
+ 1)
4
- 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16
- 1
= (2x² - 1)(2x² + 1)(4
+ 1 )
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
Answer:

Step-by-step explanation:
Given:
The given inequality is.
Solution:
Simplify the given expression.
Multiply by x both side of the equation.

Simplify.


Rewrite the equation as.


Therefore,
is the simplest form of the given expression.