1) (24x^2+6yx) / 27xy = 6x + 2y / 9y = (6x + 2y) / 9y = 2(3x + y) / 9y = (3x + y ) / 3y = (3x + y) / 3y
2) (4vu^2 + 14vu) / 8u^2 = 2vu(u + 7) / 8u^2 = vu(u + 7) / 4u^2 = (vu(u + 7)) / 4u^2 = vu(u + 7) / 4u^2
3) (2b - 6c / b - 6c) + (7b + c / 8b) = (2 - 6c / b - 6c) + (7 + c / 8b) = -4(b + c) / (b - 6c) + (7 + c) / 8b
4) (8z - 2x / z - 5x) + (z - 4 / 6x + 5) = (8z - 2x)(z + 4) / (z - 5x)(z + 4) + (z - 4)(6x + 5) / (z + 4)(6x + 5)
1) (24x^2+6yx) / 27xy = 6x + 2y / 9y = (6x + 2y) / 9y = 2(3x + y) / 9y = (3x + y ) / 3y = (3x + y) / 3y
2) (4vu^2 + 14vu) / 8u^2 = 2vu(u + 7) / 8u^2 = vu(u + 7) / 4u^2 = (vu(u + 7)) / 4u^2 = vu(u + 7) / 4u^2
3) (2b - 6c / b - 6c) + (7b + c / 8b) = (2 - 6c / b - 6c) + (7 + c / 8b) = -4(b + c) / (b - 6c) + (7 + c) / 8b
4) (8z - 2x / z - 5x) + (z - 4 / 6x + 5) = (8z - 2x)(z + 4) / (z - 5x)(z + 4) + (z - 4)(6x + 5) / (z + 4)(6x + 5)