Issolvi (frac{a^{2}}{a+B}-frac{a^{3}}{a^{2}+2aB+B^2}):(a/a+B-a^2/a^2-B^2)

$$( \frac { a ^ { 2 } } { a + B } - \frac { a ^ { 3 } } { a ^ { 2 } + 2 a B + B ^ { 2 } } ) : ( \frac { a } { a + B } - \frac { a ^ { 2 } } { a ^ { 2 } - B ^ { 2 } } )$$

Evalwa

$$-\frac{a\left(a-B\right)}{B+a}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura a^{2}+2aB+B^{2}.

$$\frac{\frac{a^{2}}{a+B}-\frac{a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' a+B u \left(B+a\right)^{2} huwa \left(B+a\right)^{2}. Immultiplika \frac{a^{2}}{a+B} b'\frac{B+a}{B+a}.

$$\frac{\frac{a^{2}\left(B+a\right)}{\left(B+a\right)^{2}}-\frac{a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Billi \frac{a^{2}\left(B+a\right)}{\left(B+a\right)^{2}} u \frac{a^{3}}{\left(B+a\right)^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{a^{2}\left(B+a\right)-a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Agħmel il-multiplikazzjonijiet fi a^{2}\left(B+a\right)-a^{3}.

$$\frac{\frac{a^{2}B+a^{3}-a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Ikkombina termini simili f'a^{2}B+a^{3}-a^{3}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Iffattura a^{2}-B^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' a+B u \left(B+a\right)\left(-B+a\right) huwa \left(B+a\right)\left(-B+a\right). Immultiplika \frac{a}{a+B} b'\frac{-B+a}{-B+a}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a\left(-B+a\right)}{\left(B+a\right)\left(-B+a\right)}-\frac{a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Billi \frac{a\left(-B+a\right)}{\left(B+a\right)\left(-B+a\right)} u \frac{a^{2}}{\left(B+a\right)\left(-B+a\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a\left(-B+a\right)-a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Agħmel il-multiplikazzjonijiet fi a\left(-B+a\right)-a^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{-aB+a^{2}-a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Ikkombina termini simili f'-aB+a^{2}-a^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{-aB}{\left(B+a\right)\left(-B+a\right)}}$$

Iddividi \frac{a^{2}B}{\left(B+a\right)^{2}} b'\frac{-aB}{\left(B+a\right)\left(-B+a\right)} billi timmultiplika \frac{a^{2}B}{\left(B+a\right)^{2}} bir-reċiproku ta' \frac{-aB}{\left(B+a\right)\left(-B+a\right)}.

$$\frac{a^{2}B\left(B+a\right)\left(-B+a\right)}{\left(B+a\right)^{2}\left(-1\right)aB}$$

Annulla Ba\left(B+a\right) fin-numeratur u d-denominatur.

$$\frac{a\left(-B+a\right)}{-\left(B+a\right)}$$

Uża l-propjetà distributtiva biex timmultiplika a b'-B+a.

$$\frac{-aB+a^{2}}{-\left(B+a\right)}$$

Biex issib l-oppost ta' B+a, sib l-oppost ta' kull terminu.

$$\frac{-aB+a^{2}}{-B-a}$$

Espandi

$$-\frac{a^{2}-Ba}{B+a}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura a^{2}+2aB+B^{2}.

$$\frac{\frac{a^{2}}{a+B}-\frac{a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' a+B u \left(B+a\right)^{2} huwa \left(B+a\right)^{2}. Immultiplika \frac{a^{2}}{a+B} b'\frac{B+a}{B+a}.

$$\frac{\frac{a^{2}\left(B+a\right)}{\left(B+a\right)^{2}}-\frac{a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Billi \frac{a^{2}\left(B+a\right)}{\left(B+a\right)^{2}} u \frac{a^{3}}{\left(B+a\right)^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{a^{2}\left(B+a\right)-a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Agħmel il-multiplikazzjonijiet fi a^{2}\left(B+a\right)-a^{3}.

$$\frac{\frac{a^{2}B+a^{3}-a^{3}}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Ikkombina termini simili f'a^{2}B+a^{3}-a^{3}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{a^{2}-B^{2}}}$$

Iffattura a^{2}-B^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a}{a+B}-\frac{a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' a+B u \left(B+a\right)\left(-B+a\right) huwa \left(B+a\right)\left(-B+a\right). Immultiplika \frac{a}{a+B} b'\frac{-B+a}{-B+a}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a\left(-B+a\right)}{\left(B+a\right)\left(-B+a\right)}-\frac{a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Billi \frac{a\left(-B+a\right)}{\left(B+a\right)\left(-B+a\right)} u \frac{a^{2}}{\left(B+a\right)\left(-B+a\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{a\left(-B+a\right)-a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Agħmel il-multiplikazzjonijiet fi a\left(-B+a\right)-a^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{-aB+a^{2}-a^{2}}{\left(B+a\right)\left(-B+a\right)}}$$

Ikkombina termini simili f'-aB+a^{2}-a^{2}.

$$\frac{\frac{a^{2}B}{\left(B+a\right)^{2}}}{\frac{-aB}{\left(B+a\right)\left(-B+a\right)}}$$

Iddividi \frac{a^{2}B}{\left(B+a\right)^{2}} b'\frac{-aB}{\left(B+a\right)\left(-B+a\right)} billi timmultiplika \frac{a^{2}B}{\left(B+a\right)^{2}} bir-reċiproku ta' \frac{-aB}{\left(B+a\right)\left(-B+a\right)}.

$$\frac{a^{2}B\left(B+a\right)\left(-B+a\right)}{\left(B+a\right)^{2}\left(-1\right)aB}$$

Annulla Ba\left(B+a\right) fin-numeratur u d-denominatur.

$$\frac{a\left(-B+a\right)}{-\left(B+a\right)}$$

Uża l-propjetà distributtiva biex timmultiplika a b'-B+a.

$$\frac{-aB+a^{2}}{-\left(B+a\right)}$$

Biex issib l-oppost ta' B+a, sib l-oppost ta' kull terminu.

$$\frac{-aB+a^{2}}{-B-a}$$