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= -b(x - 3)/c(x - 3)
= -b/c
2) (3b - bx)/(cx - 3c)
= -b(x - 3)/c(x - 3)
= -b/c
3) 3/(x+1) + 3/(x - 1)
= [3(x -1) + 3(x+1) ]/(x² - 1)
= ( 3x + 3x - 3 + 3)/(x² - 1)
= 6x/(x² - 1)
4) x/(x + y) + y/(x - y)
= [x(x-y) + y(x+y) ] / ( x² - y² )
= (x² - xy + xy + y²)/(x²-y²)
= ( x² + y²)/(x² - y²)
5) 4a/3x - 4/2x
= 4a/3x - 6/3x
= (4a -6)/3x
6) 2/(x+3) - 3/(x-2)
= [ 2(x-2) - 3(x +3) ]/(x+3)(x-2)
= (2x -4 - 3x - 9)/(x² + x - 6)
= (-x - 13)/(x² + x - 6)
7) 3x/2x × (x -4)/6x
= 3(x-4)/2(6x)
= (x -4 )/4x
8) ab²/c ÷ b/ac
= ab²/c × ac/b
= ab²/b × ac/c
= ab × a
= a²b
9) x²y³/3z ÷ 18xy/6
= x²y³/3z × 6/18xy
= x²y³/3xy × 1/3z
= xy²/9z
10) (x²+y²)/(x+y) / (x/y + y/x)
= (x² + y²)/(x + y) / ( x² + y²)/(xy)
= (x² + y²)/(x + y) × xy/(x² + y²)
= (x² + y²)/(x² + y²) × (xy)/(x + y)
= (xy)/(x + y)