Find the equation of the line Use exact numbersy= x+
1 answer:
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Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
Answer:
All answers EXCEPT answer C. are perfect square trinomials.
Step-by-step explanation:
A perfect square trinomial is polynomial that satisfies the following condition:
,
Let prove if each option observe this:
a)
1) Given
2) Definition of power/Distributive, associative and commutative properties.
3) ,
Definition of perfect square trinomial/Result.
b)
1) Given.
2) Definition of power/Distributive, associative and commutative properties.
3) ,
Definition of perfect square trinomial/Result.
c)
1) Given
2) Distributive property.
3) Existence of the additive inverse/Modulative property.
4) Modulative property/Result.
d)
1) Given
2) Definition of power/Distributive, associative and commutative properties.
3) ,
Definition of perfect square trinomial.
All answers EXCEPT answer C. are perfect square trinomials.