WAEC - Mathematics (1996 - No. 9)
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
9x - y
9y - x
1x - y
1y - x
y - 9xx - y
Explicação
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)