Wie beurteilen Sie # frac {7} {x ^ {2}} + frac {1} {x} - frac {5} {x ^ {2}} + frac {3} {x} #?

Antworten:

# => frac {2 + 4x} {x ^ 2} #

Erläuterung:

# frac {7} {x ^ {2}} + frac {1} {x} - frac {5} {x ^ {2}} + frac {3} {x} #

# => frac {7} {x ^ 2} - frac {5} {x ^ 2} + frac {1} {x} + frac {3} {x} # ----- gruppieren wie Begriffe.

# => frac {7-5} {x ^ 2} + frac {1 + 3} {x} #

# => frac {2} {x ^ 2} + frac {4} {x} #

# => frac {2} {x ^ 2} + frac {4} {x} (x / x) # ------ Nenner gleich machen

# => frac {2} {x ^ 2} + frac {4x} {x ^ 2} #

# => frac {2 + 4x} {x ^ 2} #