`(x-1)/(3)+(2x+5)/(6)=(3x-6)/(9)-(2x-5)/(2)`

(x-1)/(x-2)-(x-2)/(x-3)=(x-5)/(x-6)-(x-6)/(x-7)

(6x-7)/(2)+(9-2x)/(5)=12+(x)/(4)-(2)/(3)+(4x)/(3)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Take away: (6)/(5)x^(2)-(4)/(5)x^(3)+(5)/(6)+(3)/(2)x om (x^(3))/(3)-(5)/(2)x^(2)+(3)/(5)x+(1)/(4)

int(1)/((2x+1)^((5)/(6))(3x+5)^((7)/(6)))dx=

int (1)/((2x+1)^((5)/(6))(3x+5)^((7)/(6)))dx=

Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) + 5x +6)

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)