(v(3)-v(5) multiplied by (4v(3) -2v(5)

Question

simplify the expression. assume x and y represent nonegative real numbers

Answer 1

Sammy, I think what appears to be the letter v is actually a square root sign. If that's the case, let's re-write the problem.

(√3 - √5)(4√3 - 2√5)

 

This is a binomial expression that can be expanded using FOIL. Remember that given:

 

(x + a)(x + b) we have:

 

x² + bx + ax + ab = x² + (a + b)x + ab

 

Using this technique, we have:

 

4(3) - 2√15 - 4√15 + 2(5)

= 12 - 6√15 + 10

= 22 - 6√15

 

Remember that √a x √b = √(ab)

 

Let me know if you have any questions. Thanks!

Answer 2

Who cares about x & y if they are not present in the given expression? 

 

From the notation that you give, it appears POSSIBLE that you have some function named v, and perhaps the things to be used here are function values at 3 and 5, so in that case MORE INFORMATION IS NEEDED.