Answer:
15
Step-by-step explanation:
difference of squares means that both the terms are square terms. (also there must be a - symbol)
for example
y^2 - 4
square root of y^2 is y
square root of 4 is +2 as well as -2
so you would factorise it like this:
(y+2)(y-2)
1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.
<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>-2 doesnt have a whole number square root so it is not a difference of squares.
2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.
1 has a square root of +1 and -1.
therefore, this one is a difference of squares. <u>(</u><u>5</u><u>m</u><u>n</u><u>^</u><u>2</u><u> </u><u>+</u><u>1</u><u>)</u><u> </u><u>(</u><u>5</u><u>mn^2</u><u> </u><u>-</u><u>1</u><u>)</u>
3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)
so it is a difference of squares. <u>(</u><u>p</u><u>^</u><u>4</u><u>+</u><u>q</u><u>^</u><u>2</u><u>)</u><u>(</u><u>p</u><u>^</u><u>4</u><u> </u><u>-</u><u>q</u><u>^</u><u>2</u><u>)</u>
4. 16x^2 is a square term as irs square root is 4x.
<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>24 is not a square term.
therefore, it is not a difference of squares.
Answer:
On average, horses with and without enteroliths are fed the same amount of alfalfa per month
Step-by-step explanation:
Hello!
The veterinarian wants to research if eating alfalfa causes horses to have enteroliths.
The study variables are:
X₁: number of alfalfa flakes eaten over a month by a horse with enteroliths.
X₂: number of alfalfa flakes eaten over a month by a horse free of enteroliths.
She calculated a CI interval, with level 1 - α and the interval contained the cero.
With a significance level α, the hypotheses are:
H₀: μ₁ - μ₂ = 0
H₁: μ₁ - μ₂ ≠ 0
To decide whether you should reject or not the null hypothesis using a Confidence Interval is the following:
If the CI contains the number stated in the null hypothesis, the decision is to not reject the null hypothesis.
If the CI doesn't contain the number stated in the null hypothesis, then the decision is to reject the null hypothesis.
Since the interval contains the cero, if 1 - α and α are complementary, the decision is to reject the null hypothesis.
This means that at a level of significance of α, you can conclude that there is no difference between the population means of the numbers of alfalfa flakes eaten by horses with or without enteroliths.
I hope it helps!
Answer:

Step-by-step explanation:

Adding 9x & 3x gives 12x.

Now taking 4 common from both the terms , we get :-

Answer:
yes
Step-by-step explanation: