Question

What should be taken away from 3x² – 4y² + 5xy + 20 to obtain– x² – y² + 6xy + 20?

Answer 1

Answer:

2x²-3y²+xy+20 should be taken out

Answer 2

Answer:

 4x² – 3y² - xy

Step-by-step explanation:

Let's assume that

f(x) = 3x² – 4y² + 5xy + 20

and g(x) = – x² – y² + 6xy + 20

Now, let's consider we have to take y(x) away from f(x) to obtain g(x).

So, according to question,

f(x) - y(x) =g(x)

=> y(x) = f(x) - g(x)

=> y(x) = (3x² – 4y² + 5xy + 20) - (– x² – y² + 6xy + 20)

=> y(x) = 4x² – 3y² - xy

Hence, we have to y(x) = 4x² – 3y² - xy taken away from f(x) = 3x² – 4y² + 5xy + 20 to get g(x) = – x² – y² +  6xy+ 20.