Answer:
11
Step-by-step explanation:
(2×3)^2 = 6^2 = 36
5^2 = 25
(2×3)^2 - 5^2 = 36 - 25 = 11
Answer:
5−x²+2xy−y²
Step-by-step explanation:
5 - (x-y)²
Rewrite
(x−y)² as (x−y)(x−y) so
5−((x−y)(x−y))
Expand (x−y)(x−y) using the FOIL Method
Apply the distributive property.
5−(x(x−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−yx−y(−y))
Simplify and combine like terms
Simplify each term
5−(x²−xy−yx+y²)
Subtract yx from −xy
5−(x²−2xy+y²)
Apply the distributive property
5−x²−(−2xy)−y²
Multiply −2 by −1
5−x²+2xy−y²
ANSWER

Or

EXPLANATION
The given polynomial is

where a=1,b=k, c=30
Let the zeroes of this polynomial be m and n.
Then the sum of roots is

and the product of roots is

The square difference of the zeroes is given by the expression.

From the question, this difference is 169.
This implies that:





We substitute the values of k into the equation and solve for x.


The zeroes are given by;


Answer:
A
All real numbers
Step-by-step explanation:
Given in the question a graph
To find the range of graph
The range is the set of possible output values, which are shown on the y-axis.
We can see in the graph that for negative values of x it have positive values, zero and negative values of y.
The graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).
Hence, it is concluded that range is All real numbers