Issolvi [(3/10x)(-5xy^3)+(2/7x^3y^3):(-4/7x)]:(-xy)+1/5x(5y)^2

$$[ ( \frac { 3 } { 10 } x ) ( - 5 x y ^ { 3 } ) + ( \frac { 2 } { 7 } x ^ { 3 } y ^ { 3 } ) : ( - \frac { 4 } { 7 } x ) ] : ( - x y ) + \frac { 1 } { 5 } x ( 5 y ) ^ { 2 }$$

Evalwa

$$7xy^{2}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika x u x biex tikseb x^{2}.

$$\frac{\frac{3}{10}x^{2}\left(-5\right)y^{3}+\frac{\frac{2}{7}x^{3}y^{3}}{-\frac{4}{7}x}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Immultiplika \frac{3}{10} u -5 biex tikseb -\frac{3}{2}.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{3}y^{3}}{-\frac{4}{7}x}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{2}y^{3}}{-\frac{4}{7}}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Iddividi \frac{2}{7}x^{2}y^{3} b'-\frac{4}{7} billi timmultiplika \frac{2}{7}x^{2}y^{3} bir-reċiproku ta' -\frac{4}{7}.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{2}y^{3}\times 7}{-4}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Immultiplika \frac{2}{7} u 7 biex tikseb 2.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{2x^{2}y^{3}}{-4}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Iddividi 2x^{2}y^{3} b'-4 biex tikseb-\frac{1}{2}x^{2}y^{3}.

$$\frac{-\frac{3}{2}x^{2}y^{3}-\frac{1}{2}x^{2}y^{3}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Ikkombina -\frac{3}{2}x^{2}y^{3} u -\frac{1}{2}x^{2}y^{3} biex tikseb -2x^{2}y^{3}.

$$\frac{-2x^{2}y^{3}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Annulla y fin-numeratur u d-denominatur.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Espandi \left(5y\right)^{2}.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times 5^{2}y^{2}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times 25y^{2}$$

Immultiplika \frac{1}{5} u 25 biex tikseb 5.

$$\frac{-2x^{2}y^{2}}{-x}+5xy^{2}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 5xy^{2} b'\frac{-x}{-x}.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{5xy^{2}\left(-1\right)x}{-x}$$

Billi \frac{-2x^{2}y^{2}}{-x} u \frac{5xy^{2}\left(-1\right)x}{-x} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{-2x^{2}y^{2}+5xy^{2}\left(-1\right)x}{-x}$$

Agħmel il-multiplikazzjonijiet fi -2x^{2}y^{2}+5xy^{2}\left(-1\right)x.

$$\frac{-2x^{2}y^{2}-5x^{2}y^{2}}{-x}$$

Ikkombina termini simili f'-2x^{2}y^{2}-5x^{2}y^{2}.

$$\frac{-7x^{2}y^{2}}{-x}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{-7xy^{2}}{-1}$$

Kwalunkwe ħaġa diviża b '-1 jagħtik oppost tiegħu.

$$7xy^{2}$$

Espandi

$$7xy^{2}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika x u x biex tikseb x^{2}.

$$\frac{\frac{3}{10}x^{2}\left(-5\right)y^{3}+\frac{\frac{2}{7}x^{3}y^{3}}{-\frac{4}{7}x}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Immultiplika \frac{3}{10} u -5 biex tikseb -\frac{3}{2}.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{3}y^{3}}{-\frac{4}{7}x}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{2}y^{3}}{-\frac{4}{7}}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Iddividi \frac{2}{7}x^{2}y^{3} b'-\frac{4}{7} billi timmultiplika \frac{2}{7}x^{2}y^{3} bir-reċiproku ta' -\frac{4}{7}.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{\frac{2}{7}x^{2}y^{3}\times 7}{-4}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Immultiplika \frac{2}{7} u 7 biex tikseb 2.

$$\frac{-\frac{3}{2}x^{2}y^{3}+\frac{2x^{2}y^{3}}{-4}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Iddividi 2x^{2}y^{3} b'-4 biex tikseb-\frac{1}{2}x^{2}y^{3}.

$$\frac{-\frac{3}{2}x^{2}y^{3}-\frac{1}{2}x^{2}y^{3}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Ikkombina -\frac{3}{2}x^{2}y^{3} u -\frac{1}{2}x^{2}y^{3} biex tikseb -2x^{2}y^{3}.

$$\frac{-2x^{2}y^{3}}{\left(-x\right)y}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Annulla y fin-numeratur u d-denominatur.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times \left(5y\right)^{2}$$

Espandi \left(5y\right)^{2}.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times 5^{2}y^{2}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{1}{5}x\times 25y^{2}$$

Immultiplika \frac{1}{5} u 25 biex tikseb 5.

$$\frac{-2x^{2}y^{2}}{-x}+5xy^{2}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 5xy^{2} b'\frac{-x}{-x}.

$$\frac{-2x^{2}y^{2}}{-x}+\frac{5xy^{2}\left(-1\right)x}{-x}$$

Billi \frac{-2x^{2}y^{2}}{-x} u \frac{5xy^{2}\left(-1\right)x}{-x} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{-2x^{2}y^{2}+5xy^{2}\left(-1\right)x}{-x}$$

Agħmel il-multiplikazzjonijiet fi -2x^{2}y^{2}+5xy^{2}\left(-1\right)x.

$$\frac{-2x^{2}y^{2}-5x^{2}y^{2}}{-x}$$

Ikkombina termini simili f'-2x^{2}y^{2}-5x^{2}y^{2}.

$$\frac{-7x^{2}y^{2}}{-x}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{-7xy^{2}}{-1}$$

Kwalunkwe ħaġa diviża b '-1 jagħtik oppost tiegħu.

$$7xy^{2}$$