RHS-
(x+y)(x²-xy+y²)
=x(x²-xy+y²)+y(x²-xy+y²)
=x³-x²y+xy²+x²y-xy²+y³
(CANCEL THE POSSIBLE TERMS)
=x³+y³
=LHS
therefore verified
Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
(3^3 - 9 )^2
First do what is inside the parenthesis:
3^3 = 27
Now you have:
(27-9)^2
Subtract:
27-9 = 18
Now you have:
(18)^2
Raise 18 to the second power:
18^2 = 324
The answer is d) 14. Attached is a screenshot of how to do this on a graph. Graph the given point (5,12). Count out your slope on either side until you reach your given y value (6).
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