Hello,
x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)
Let's use Horner's division
.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3
The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3
Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0
And here, Mehek are there sufficients explanations?
Terry has 43 in her checking account....she then writes a check for 62...
43 - 62 = - 19 <==
Answer:
3x+5y=105
x+y=25
Step-by-step explanation:
x is the number of 3 mile runs so the total distance travelled is 3x miles. y is the number of 5 mile runs so the total distance travelled is 5y miles. Together Gavin travelled 103 miles so 3x+5y=105.
The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.
So the answer is:
3x+5y=105
x+y=25
Done.
Answer:
60 seconds i think 100 and 120 would be will 200
Step-by-step explanation:
The lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
<h3>Mean of data</h3>
Mean is the average of numbers.
Mean = sum of data/sample size
Let the lowest score be "x" such that;
Mean = 74+78+90+91+x/5
88 = 74+78+90+91+x/5
88(5) = 74+78+90+91+x
440 = 74+78+90+91+x
440 = 333 + x
x = 440 - 333
x = 107
Hence the lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
Learn more on mean here: brainly.com/question/20118982
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