Can someone please show me the steps to answer this question? If x = 2 and y = -3, what is the value of 2x^2 - 3xy – 2y^2
Just plug in your X and Y values
so 22^2 - 32-3– 2-3^2
2(2\[2(2^2)-3(2)(-3)-2(-3^2)\]
That should be right
After that just simplify
So 2(2^2) - 3(2)(-3) – 2(2^2) = 2(4) - 3(2)(-3) – 2(4)
yup
then multiply
2X4-3X-6-8
So 2(2^2) - 3(2)(-3) – 2(2^2) = 2(4) - 3(2)(-3) – 2(4) = 2*4=8 3*2=6 6*-3=-18 2*4=8 =
8-18-8?
8--18-8, Don'y forget the negative on the 18 :P
What happens when you have 2 negatives?
positive right?
yes :D so 8+18-8
= 18
You need to be careful when you square a negative number. \(-3^2 \ne (-3)^2\) \(-3^2 = -9\) \((-3)^2 = 9\) Also, make sure you substitute the correct numbers in for the variables. \(\color{red}{x = 2}\), and \(\color{green}{y = -3}\). \( 2\color{red}{x}^2 - 3\color{red}{x}\color{green}{y} – 2\color{green}{y}^2 \) \(= 2(\color{red}{2})^2 - 3(\color{red}{2})(\color{green}{-3}) - 2(\color{green}{-3})^2\) \(=2(4) - (-18) - 2(9)\) \(= 8 + 18 - 18\) \(= 8\)
The correct answer is 8, not 18.
Do you understand the steps?
Yes sir/ma'am, thank you very very much!!
You're welcome.
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