Given:
The expression is:
![(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)](https://tex.z-dn.net/?f=%286m%5E5%2B3-m%5E3-4m%29-%28-m%5E5%2B2m%5E3-4m%2B6%29)
To find:
The resulting polynomial in standard form.
Solution:
We have,
![(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)](https://tex.z-dn.net/?f=%286m%5E5%2B3-m%5E3-4m%29-%28-m%5E5%2B2m%5E3-4m%2B6%29)
Write subtraction of a polynomial expression as addition of the additive inverse.
![(6m^5+3-m^3-4m)+(m^5-2m^3+4m-6)](https://tex.z-dn.net/?f=%286m%5E5%2B3-m%5E3-4m%29%2B%28m%5E5-2m%5E3%2B4m-6%29)
Rewrite terms that are subtracted as addition of the opposite.
![6m^5+3+(-m^3)+(-4m)+m^5+(-2m^3)+4m+(-6)](https://tex.z-dn.net/?f=6m%5E5%2B3%2B%28-m%5E3%29%2B%28-4m%29%2Bm%5E5%2B%28-2m%5E3%29%2B4m%2B%28-6%29)
Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.
![7m^5+(-3)+(-3m^3)+0](https://tex.z-dn.net/?f=7m%5E5%2B%28-3%29%2B%28-3m%5E3%29%2B0)
On simplification, we get
![7m^5-3-3m^3](https://tex.z-dn.net/?f=7m%5E5-3-3m%5E3)
Write the polynomial in standard form.
![7m^5-3m^3-3](https://tex.z-dn.net/?f=7m%5E5-3m%5E3-3)
Therefore, the required polynomial in standard form is
.
Answer:
True similar triangles don't have to be the same size
Step-by-step explanation:
<h3>
Answer:</h3>
y +3 = (1/4)(x +3)
<h3>
Step-by-step explanation:</h3>
The two-point form of the equation for a line is good for this.
... y -y1 = (y2-y1)/(x2-x1)(x -x1)
Substituting your values, we have ...
... y -(-3) = (-1-(-3))/(5-(-3))(x -(-3))
... y +3 = 2/8(x +3)
Since you ask for "an equation," we can leave it in this form.
... y +3 = (1/4)(x +3)
_____
Or we can rearrange it to <em>slope-intercept form</em>:
... y = (1/4)x -(2 1/4)
or put it in <em>standard form</em>:
... x -4y = 9
Answer:
The only two values that have the same absolute value of 34, is +34 and -34.
Step-by-step explanation:
1- 6
2- 4
3- 2
And that’s all I can tell you? It’s decreasing so I don’t think 10 would have any stars unless if negative numbers are allowed