SOLUTION: show me the steps to figure this out. what is the value of the expression {{{2x^2+3xy-4y^2}}} when {{{x=2}}} and {{{y=-4}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: show me the steps to figure this out. what is the value of the expression {{{2x^2+3xy-4y^2}}} when {{{x=2}}} and {{{y=-4}}}      Log On


   



Question 206750: show me the steps to figure this out.
what is the value of the expression
2x%5E2%2B3xy-4y%5E2 when x=2 and y=-4

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2%2B3xy-4y%5E2 when x=2 and y=-4

Everywhere you see an x write %282%29 instead:
Everywhere you see a y write %28-4%29 instead:


2%282%29%5E2%2B3%282%29%28-4%29-4%28-4%29%5E2

Do exponents first.  Replace %282%29%5E2 by %284%29
Replace %28-4%29%5E2 by %2816%29

2%284%29%2B3%282%29%28-4%29-4%2816%29

Do multiplications next:

Replace 2%284%29 by 8
Replace 3%282%29%28-4%29 by %28-24%29
Replace -4%2816%29 by -64

8%2B%28-24%29-64

8-24-64

-80

Edwin