1) (b/(3a)) - ((b-2a)/(3a)) = b/(3a) - (b-2a)/(3a)= (b - (b-2a))/(3a)= (b - b + 2a)/(3a)= 2a/(3a)= 2/3
2) (14c - 35)/(6c+5) - ((2c)/(6c))= (14c - 35)/(6c+5) - (2c)/(6c)= (14c - 35 - 2c(6c+5))/(6c(6c+5))= (14c - 35 - 12c - 10c)/(6c(6c+5))= (2c - 35)/(6c+5)
3) (3a-b)/(4a) - (2a+6b)/(4a) + (a-5b)/(4a)= (3a-b - 2a - 6b + a - 5b)/(4a)= (3a - 2a + a - b - 6b - 5b)/(4a)= (2a - 12b)/(4a)= 2(2a - 6b)/(4*2a)= (2a - 6b)/(2a)= (a - 3b)/a
4) (2x - 3y)/(4xy + 11y) - (4x)/(4xy - 2x + 8y)= (2x - 3y)/(y(4x + 11)) - (4x)/(x(4y - 2 + 8))= (2x - 3y)/(y(4x + 11)) - (4x)/(x(4y + 6))= (2x - 3y)(x)/(xy(4x + 11)) - (4x)(4)/((4x + 6)(x))= (2x^2 - 3xy)/(xy(4x + 11)) - (16x)/(x(4x + 6))= (2x^2 - 3xy)/(xy(4x + 11)) - (16)/(4x + 6)= [(2x^2 - 3xy)*(4x + 6) - 16xy]/(xy(4x + 11)(4x + 6))= (8x^3 + 12x^2 - 12xy - 18x - 16xy)/(4xy(4x + 11)(4x + 6))= (8x^3 + 12x^2 - 28xy - 18x)/(4xy(4x + 11)(4x + 6))
1) (b/(3a)) - ((b-2a)/(3a)) = b/(3a) - (b-2a)/(3a)
= (b - (b-2a))/(3a)
= (b - b + 2a)/(3a)
= 2a/(3a)
= 2/3
2) (14c - 35)/(6c+5) - ((2c)/(6c))
= (14c - 35)/(6c+5) - (2c)/(6c)
= (14c - 35 - 2c(6c+5))/(6c(6c+5))
= (14c - 35 - 12c - 10c)/(6c(6c+5))
= (2c - 35)/(6c+5)
3) (3a-b)/(4a) - (2a+6b)/(4a) + (a-5b)/(4a)
= (3a-b - 2a - 6b + a - 5b)/(4a)
= (3a - 2a + a - b - 6b - 5b)/(4a)
= (2a - 12b)/(4a)
= 2(2a - 6b)/(4*2a)
= (2a - 6b)/(2a)
= (a - 3b)/a
4) (2x - 3y)/(4xy + 11y) - (4x)/(4xy - 2x + 8y)
= (2x - 3y)/(y(4x + 11)) - (4x)/(x(4y - 2 + 8))
= (2x - 3y)/(y(4x + 11)) - (4x)/(x(4y + 6))
= (2x - 3y)(x)/(xy(4x + 11)) - (4x)(4)/((4x + 6)(x))
= (2x^2 - 3xy)/(xy(4x + 11)) - (16x)/(x(4x + 6))
= (2x^2 - 3xy)/(xy(4x + 11)) - (16)/(4x + 6)
= [(2x^2 - 3xy)*(4x + 6) - 16xy]/(xy(4x + 11)(4x + 6))
= (8x^3 + 12x^2 - 12xy - 18x - 16xy)/(4xy(4x + 11)(4x + 6))
= (8x^3 + 12x^2 - 28xy - 18x)/(4xy(4x + 11)(4x + 6))