book Maths Puzzle Numerical Ability

Determinant
show that determinant
b+c,a,a,
b,c+a,b
c.c. a+b
=4abc

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book Other Question

Hello, here is my problem:
(U^6 + V^6 + 2U^3V^3) / (U^3 -V^3 + U^2V �UV^2)
The answer is= (U^2-UV+V^2)^2 / (U-V)
I have been working on it for about three hours, I just need the steps to help me figure it out. Please and Thanks! jo has 37 coins(all nickels, dimes, and quarters) worth $5.50 she has 4 more quarters than nickels how many dimes does jo have