Answer:
Step-by-step explanation:
<u>Given expression</u>
(2x⁴ - 8x²y² - y⁴) - (-6x⁴ - 3x²y² + 5y⁴)
<u>Expand the parenthesis</u>
2x⁴ - 8x²y² - y⁴ + 6x⁴ + 3x²y² - 5y⁴
<u>Move like terms together</u>
2x⁴ + 6x⁴ - y⁴ - 5y⁴ - 8x²y² + 3x²y²
<u />
<u>Combine like terms</u>
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Answer:
8.2944444444444
Step-by-step explanation:
To find this, first find the factor or rate of which the numbers are moving. To do so do as follows.
subtract 1 from 3
3-1=2
So each number is having 2 added to it.
Now add two to 7 and the numbers afterwards till you get the 12th term
7+2=9
1+3+5+7+9
9+2=11
1+3+5+7+9+11
11+2=13
1+3+5+7+9+11+13
13+2=15
1+3+5+7+9+11+13+15
15+2=17
1+3+5+7+9+11+13+15+17
17+2=19
1+3+5+7+9+11+13+15+17+19
19+2=21
1+3+5+7+9+11+13+15+17+19+21
21+2=23
1+3+5+7+9+11+13+15+17+19+21+23
So 23 is the 12th term
K, so areitmetic
an=a1+d(n-1)
a1=first term
d=common differnce
we are given
a1=2 and 3/4
6th term is 3 and 7/12
so
a6=3 and 7/12=2 and 3/4+d(6-1)
3 and 7/12=2 and 3/4+d(5)
minus 2 and 3/4 both sides
10/12=5d
divide both sides by 5 or multiply both sides by 1/5
2/12=d
1/6=d
or
that is the rule