X² +2x+1/3x +3 rút gọn ạ 3x +2 /x² – 4 × x² -2x / 6x + 4 rút gọn ạ 27/11/2021 Bởi Samantha X² +2x+1/3x +3 rút gọn ạ 3x +2 /x² – 4 × x² -2x / 6x + 4 rút gọn ạ
` \frac{x^2 + 2x + 1}{3x + 3} ` ` = \frac{(x + 1)^2}{3(x + 1)} ` ` = \frac{x + 1}{3} ` ` \frac{3x + 2}{x^2 – 4} . \frac{x^2 – 2x}{6x + 4} ` ` = \frac{3x + 2}{(x – 2)(x + 2)} . \frac{x(x – 2)}{2(3x + 2)} ` ` = \frac{1}{x + 2} . \frac{x}{2} ` (rút gọn chéo) ` = \frac{x}{2(x + 2)} ` Bình luận
` \frac{x^2 + 2x + 1}{3x + 3} `
` = \frac{(x + 1)^2}{3(x + 1)} `
` = \frac{x + 1}{3} `
` \frac{3x + 2}{x^2 – 4} . \frac{x^2 – 2x}{6x + 4} `
` = \frac{3x + 2}{(x – 2)(x + 2)} . \frac{x(x – 2)}{2(3x + 2)} `
` = \frac{1}{x + 2} . \frac{x}{2} ` (rút gọn chéo)
` = \frac{x}{2(x + 2)} `