Answer: x^2 + 6x + 9
Step-by-step explanation:
first, you square everything.
x^2 + 2x x 3 + 3^2
then, you calculate/evaluate.
x^2 + 6x + 9
The correct answer is: ![(x+3)^2-4](https://tex.z-dn.net/?f=%28x%2B3%29%5E2-4)
Step-by-step explanation:
Given expression is:
![x^2+6x+5](https://tex.z-dn.net/?f=x%5E2%2B6x%2B5)
We can combine terms as:
![(x^2+6x) + 5](https://tex.z-dn.net/?f=%28x%5E2%2B6x%29%20%2B%205)
Any term that is added to an expression is also subtracted from the expression
![[(x)^2 + 2.x.3] +5](https://tex.z-dn.net/?f=%5B%28x%29%5E2%20%2B%202.x.3%5D%20%2B5)
So,
![2ab = 6x\\2xb = 6x\\b = \frac{6x}{2x}\\b = 3](https://tex.z-dn.net/?f=2ab%20%3D%206x%5C%5C2xb%20%3D%206x%5C%5Cb%20%3D%20%5Cfrac%7B6x%7D%7B2x%7D%5C%5Cb%20%3D%203)
As b = 3 so (b)^2 will be added and subtracted in the expression
![[x^2+6x] +5 + (3)^2-(3)^2](https://tex.z-dn.net/?f=%5Bx%5E2%2B6x%5D%20%2B5%20%2B%20%283%29%5E2-%283%29%5E2)
![[(x)^2+6x+ (3)^2] + 5 - (3)^2\\(x+3)^2 + 5 -9\\(x+3)^2-4](https://tex.z-dn.net/?f=%5B%28x%29%5E2%2B6x%2B%20%283%29%5E2%5D%20%2B%205%20-%20%283%29%5E2%5C%5C%28x%2B3%29%5E2%20%2B%205%20-9%5C%5C%28x%2B3%29%5E2-4)
Hence,
The correct answer is: ![(x+3)^2-4](https://tex.z-dn.net/?f=%28x%2B3%29%5E2-4)
Keywords: Polynomials, expressions
Learn more about polynomials at:
#LearnwithBrainly
Answer:
there will be 12 different outcomes
Step-by-step explanation:
There are 6 sides to the die and 2 sides to the coin. You multiply both of them and get 12
Answer:
-12x = -60
Step-by-step explanation:
-12x = -79+19
-12x = -60
Answer:
2,052,086,400.
Step-by-step explanation:
Permutation
Pr = n! / (n-r)!
30P5 = 30! / (30-5)
30P5 = 30x29x28x27x26x25! / 25!
(Just cancel the 25! on the numerator and denominator for easier solving.)
30P5 = 30x29x28x27x26
30P5 = 17,100,720.It is not the final answer because we can still arrange the 5 winners.
5! = 5×4×3×2×1 = 12017,100,720 × 120 = 2,052,086,400