Rút gọn các phân thức sau
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Bài 1. Rút gọn các phần thức sau
a) \(\frac{(x + 2)^{2}}{2x + 4};\)
b) \(\frac{x^{2} + 4x + 4}{2x + 4};\)
c) \(\frac{(1 - x)(-x - 2)}{x + 2};\)
d) \(\frac{x^{2} - y^{2}}{x + y};\)
e) \(\frac{3x - 6}{3x^{3} - 6x^{2} + 12x - 8};\)
f) \(\frac{x^{3} + 2x^{2}}{3x^{2} + 6x^{2} + 12x + 8};\)
g) \(\frac{2x^{2}y^{5}}{3x^{2}y};\)
h) \(\frac{3x(x - y)^{3}}{2x^{2}(x - y)^{2}};\)
i) \(\frac{3x^{2}y^{2} + 4xy^{2}}{6x + 8y};\)
j) \(9x^{3} - 18x;\)
k) \(\frac{-3x^{2} - 6x}{4 - x^{2}};\)
l) \(\frac{x^{2} - 2x + 1}{x^{2} - 3x + 2};\)
m) \(\frac{8x^{2}y^{2}(x + y)}{4xy \, x^{2} - y^{2}};\)
n) \(P = \frac{x^{3} + 8}{x^{2} - 2x - 4} - (x - 2);\)
o) \(Q = \frac{48(x - 5)^{2}}{120 - 24x};\)
p) \(R = \frac{12x^{3}y^{4}(x - y)^{2}}{18x^{2}y^{2}(y - x)}.\)
Bài 1. Rút gọn các phần thức sau
a) \(\frac{(x + 2)^{2}}{2x + 4};\)
b) \(\frac{x^{2} + 4x + 4}{2x + 4};\)
c) \(\frac{(1 - x)(-x - 2)}{x + 2};\)
d) \(\frac{x^{2} - y^{2}}{x + y};\)
e) \(\frac{3x - 6}{3x^{3} - 6x^{2} + 12x - 8};\)
f) \(\frac{x^{3} + 2x^{2}}{3x^{2} + 6x^{2} + 12x + 8};\)
g) \(\frac{2x^{2}y^{5}}{3x^{2}y};\)
h) \(\frac{3x(x - y)^{3}}{2x^{2}(x - y)^{2}};\)
i) \(\frac{3x^{2}y^{2} + 4xy^{2}}{6x + 8y};\)
j) \(9x^{3} - 18x;\)
k) \(\frac{-3x^{2} - 6x}{4 - x^{2}};\)
l) \(\frac{x^{2} - 2x + 1}{x^{2} - 3x + 2};\)
m) \(\frac{8x^{2}y^{2}(x + y)}{4xy \, x^{2} - y^{2}};\)
n) \(P = \frac{x^{3} + 8}{x^{2} - 2x - 4} - (x - 2);\)
o) \(Q = \frac{48(x - 5)^{2}}{120 - 24x};\)
p) \(R = \frac{12x^{3}y^{4}(x - y)^{2}}{18x^{2}y^{2}(y - x)}.\)