<h3>
Answer: (2x-y)(2x+y)</h3>
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Work Shown:
4x^2 - y^2
(2x)^2 - (y)^2
(2x-y)(2x+y)
When going from the second step to the third step, I used the difference of squares rule. That rule is a^2-b^2 = (a-b)(a+b). In this case, a = 2x and b = y.
Side note: (2x-y)(2x+y) is the same as (2x+y)(2x-y). We can multiply in any order.
Answer:
Multiply the second equation by -3 to get -3x - 9y = -30.
Step-by-step explanation:
When eliminating, you need to find a term with the negative of that term to combine so that they cancel each other out. An example would be 3x in the first equation and (-3x) in another equation so that when added, it becomes: 3x-3x = 0.
In the second equation, you see that there is already an x there and you just need to make it become (-3x). Thus, you multiply the entire second equation by -3 to make -3x. Once you have done that, you can combine the two equations and eliminate 3x from the first equation.
3x + 5y = 30
-3x - 9y = -30
3x + 5y -3x - 9y = 30 + (-30)
0 - 4y = 30 - 30
-4y = 0
<em>You can find y and then x later on from here. </em>
Since
, it follows that
where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
Step-by-step explanation:
F(x) = (x + 7)³
= 3C0 * x³ + 3C1 * x² * 7 + 3C2 * x * 7² + 3C3 * 7³
= x³ + 21x² + 147x + 343.
Answer:
if the line keeps going and theynever touch
Step-by-step explanation:
