Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
= 
← in factored form
Answer:
(x+4y)(x-4y)
Step-by-step explanation:
Since
we can see that
Answer:
A) 5 3/10
B) 785 3/20
Step-by-step explanation:
Hope this helps <3
you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!
2 1/5 + 3 1/10
5 can fit into 10 twice so it becomes...
2 2/10 + 3 1/10 which equals
<u>5 3/10</u>
472 2/5 + 312 3/4
5 times 4 is 20
472 8/20 + 312 15/20
there is a remainder of 3 for the fractions so you put it over 20.
<u>785 3/20</u>
The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
- You're Mark Atilius, are not you? she smiled - My name is Nefertari and I have a message for you from my grandmother. You should go right away if you want to get Pharaoh's belt you've been looking for all this time.
And he passed on the parchment he had just read.
<span> AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? </span>
Task: Find out the coordinates where Mark should come.<span> "
First, you need to solve for the position from which Mark starts.
You know:
</span><span>AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.
Similarly:
</span><span>CC6 + 6 = CBB
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1
Hence, the starting position is: (AB, C) = (52, 1)
The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).
(52, 1)
-> S57 -> (52, -56)</span>
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)
Hence, the coordinates that Mark should reach are (156, -164)
(x-3)^2, as x-3 is repeated twice
