(6x + 2xy + y + 3) : (y + 3)
(m² - 11 m + 28) : (m² - 49)
(mx + nx + ny + my) : (m² + 2mn + n²)
(6x + 2xy + y + 3) : (y + 3) =
(6x + 2xy + y + 3) / (y + 3) =
[ 2x(y + 3) + (y + 3)] / (y + 3) =
[ 2x(y + 3) / (y + 3)] + (y + 3) / (y + 3) =
2x + 1
------------------------------------------------------------
(m² - 11 m + 28) : (m² - 49) =
(m² - 11 m + 28) / (m² - 49) =
[(m - 7)(m - 3)] / [(m - 7)(m + 7)] =
(m - 3) / (m + 7)
----------------------------------------------------------
(mx + nx + ny + my) : (m² + 2mn + n²) =
(mx + nx + ny + my) / (m² + 2mn + n²) =
[(m + n)(x + y)] / [(m + n)(m + n)] =
(x + y) / (m + n)
Comments
(6x + 2xy + y + 3) : (y + 3) =
(6x + 2xy + y + 3) / (y + 3) =
[ 2x(y + 3) + (y + 3)] / (y + 3) =
[ 2x(y + 3) / (y + 3)] + (y + 3) / (y + 3) =
2x + 1
------------------------------------------------------------
(m² - 11 m + 28) : (m² - 49) =
(m² - 11 m + 28) / (m² - 49) =
[(m - 7)(m - 3)] / [(m - 7)(m + 7)] =
(m - 3) / (m + 7)
----------------------------------------------------------
(mx + nx + ny + my) : (m² + 2mn + n²) =
(mx + nx + ny + my) / (m² + 2mn + n²) =
[(m + n)(x + y)] / [(m + n)(m + n)] =
(x + y) / (m + n)