c) (a * x ^ 2 - a * y ^ 2)/(x ^ 2 + 2xy + y ^ 2) * (6x ^ 3 + 6y ^ 3)/(x ^ 2 - 2xy + y ^ 2) = d) (2x ^ 2 - 4xy + 2y ^ 2)/(5x - 5y) * (15x ^ 2 - 15y ^ 2)/(4x ^ 3 + 4y ^ 3) b) (3x - 3y)/(2x + 2y) * (8x + 8y)/(15x

Nguyễn Cường Hỏi từ APP VIETJACK

· 23:16 17/07/2022

c) (a * x ^ 2 - a * y ^ 2)/(x ^ 2 + 2xy + y ^ 2) * (6x ^ 3 + 6y ^ 3)/(x ^ 2 - 2xy + y ^ 2) =

d) (2x ^ 2 - 4xy + 2y ^ 2)/(5x - 5y) * (15x ^ 2 - 15y ^ 2)/(4x ^ 3 + 4y ^ 3)

b) (3x - 3y)/(2x + 2y) * (8x + 8y)/(15x - 15y)

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$\frac{a x^{2} - a y^{2}}{x^{2} + 2 x y + y^{2}} . \frac{6 x^{3} + 6 y^{3}}{x^{2} - 2 x y + y^{2}} = \frac{a . (x^{2} - y^{2})}{{(x + y)}^{2}} . \frac{6 . (x^{3} + y^{3})}{{(x - y)}^{2}} = \frac{6 a . (x - y) . (x + y) . (x + y) . (x^{2} - x y + y^{2})}{{(x + y)}^{2} . {(x - y)}^{2}} = \frac{6 a . (x^{2} - x y + y^{2})}{x - y} = \frac{6 a . {(x - y)}^{2} + 6 a . x y}{x - y} = 6 a . (x - y) + 6 a \frac{x y}{x - y} d, \frac{2 x^{2} - 4 x y + 2 y^{2}}{5 x - 5 y} . \frac{15 x^{2} - 15 y^{2}}{4 x^{3} + 4 y^{3}} = \frac{2 . (x^{2} - 2 x y + y^{2}) . 15 . (x^{2} - y^{2})}{5 . (x - y) . 4 (x^{3} + y^{3})} = \frac{3 . {(x - y)}^{2} . (x - y) . (x + y)}{2 . (x - y) . (x + y) . (x^{2} - x y + y^{2})} = \frac{3 . {(x - y)}^{2}}{2 . (x^{2} - x y + y^{2})} = \frac{3 . (x^{2} - 2 x y + y^{2})}{2 . (x^{2} - x y + y^{2})} = \frac{3}{2} - \frac{3 x y}{2 . (x^{2} - x y + y^{2})} b, \frac{3 x - 3 y}{2 x + 2 y} . \frac{8 x + 8 y}{15 x - 15 y} = \frac{3 . (x - y) . 8 (x + y)}{2 . (x + y) . 15 . (x - y)} = \frac{3.2.4}{2.3.5} = \frac{4}{5}$