Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
Answer:30 divided by 4 equals 7.5
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
We are given polynomial:
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get



<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get

=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>
Answer:

Step-by-step explanation:
Given
x -
= 9 ← square both sides
(x -
)² = 9²
x² - 2 +
= 81 ( add 2 to both sides )
x² +
= 83
Now
(x +
)² = x² +
+ 2, thus
x² +
= 83 + 2 = 85
(x +
)²= 85 ( take the square root of both sides)
x +
= 