Question

Упростить a^2x^2+36y^2/ax-6y + 12axy/6y-ax
Упростить ay/a-yb + 3a-by/by-a

Answer 1

$3) \ \dfrac{ay}{a-yb} + \dfrac{3a-by}{by-a} = \dfrac{ay}{a-by} - \dfrac{3a-by}{a-by}=\dfrac{ay-3a+by}{a-by}\\\\\\4)\dfrac{a^{2}x^{2}+36y^{2}}{ax-6y}+\dfrac{12axy}{6y-ax}=\dfrac{a^{2}x^{2}+36y^{2}}{ax-6y}-\dfrac{12axy}{ax-6y} =\\\\=\dfrac{a^{2}x^{2}+36y^{2}-12axy}{ax-6y}=\dfrac{a^{2}x^{2}-12axy+36y^{2}}{ax-6y}\\\\=\dfrac{(ax-6y)^{2} }{ax-6y}=ax-6y$