Riješi 2x(3/5x-1/2)+4x(3/5x-1/2)-(frac{3}{5}x-frac{1}{2})

$$2x( \frac{ 3 }{ 5 } x- \frac{ 1 }{ 2 } )+4x( \frac{ 3 }{ 5 } x- \frac{ 1 }{ 2 } )-( \frac{ 3 }{ 5 } x- \frac{ 1 }{ 2 } )$$

Procijeni

$$\frac{18x^{2}}{5}-\frac{18x}{5}+\frac{1}{2}$$

Koraci za rješenje

Koristite distributivno svojstvo da biste pomnožili 2x sa \frac{3}{5}x-\frac{1}{2}.

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

Pomnožite x i x da biste dobili x^{2}.

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

Izrazite 2\times \frac{3}{5} kao jedan razlomak.

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

Pomnožite 2 i 3 da biste dobili 6.

$$\frac{6}{5}x^{2}+2x\left(-\frac{1}{2}\right)+4x\left(\frac{3}{5}x-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Otkaži 2 i 2.

$$\frac{6}{5}x^{2}-x+4x\left(\frac{3}{5}x-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Koristite distributivno svojstvo da biste pomnožili 4x sa \frac{3}{5}x-\frac{1}{2}.

$$\frac{6}{5}x^{2}-x+4x\times \frac{3}{5}x+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{6}{5}x^{2}-x+4x^{2}\times \frac{3}{5}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Izrazite 4\times \frac{3}{5} kao jedan razlomak.

$$\frac{6}{5}x^{2}-x+\frac{4\times 3}{5}x^{2}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite 4 i 3 da biste dobili 12.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Izrazite 4\left(-\frac{1}{2}\right) kao jedan razlomak.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+\frac{4\left(-1\right)}{2}x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite 4 i -1 da biste dobili -4.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+\frac{-4}{2}x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Podijelite -4 sa 2 da biste dobili -2.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}-2x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Kombinirajte \frac{6}{5}x^{2} i \frac{12}{5}x^{2} da biste dobili \frac{18}{5}x^{2}.

$$\frac{18}{5}x^{2}-x-2x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Kombinirajte -x i -2x da biste dobili -3x.

$$\frac{18}{5}x^{2}-3x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Da biste pronašli suprotnu vrijednost od \frac{3}{5}x-\frac{1}{2}, pronađite suprotnu vrijednost svakog izraza.

$$\frac{18}{5}x^{2}-3x-\frac{3}{5}x-\left(-\frac{1}{2}\right)$$

Opozit broja -\frac{1}{2} je \frac{1}{2}.

$$\frac{18}{5}x^{2}-3x-\frac{3}{5}x+\frac{1}{2}$$

Kombinirajte -3x i -\frac{3}{5}x da biste dobili -\frac{18}{5}x.

$$\frac{18}{5}x^{2}-\frac{18}{5}x+\frac{1}{2}$$

Proširi

$$\frac{18x^{2}}{5}-\frac{18x}{5}+\frac{1}{2}$$

Koraci za rješenje

Koristite distributivno svojstvo da biste pomnožili 2x sa \frac{3}{5}x-\frac{1}{2}.

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

Pomnožite x i x da biste dobili x^{2}.

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

Izrazite 2\times \frac{3}{5} kao jedan razlomak.

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

Pomnožite 2 i 3 da biste dobili 6.

$$\frac{6}{5}x^{2}+2x\left(-\frac{1}{2}\right)+4x\left(\frac{3}{5}x-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Otkaži 2 i 2.

$$\frac{6}{5}x^{2}-x+4x\left(\frac{3}{5}x-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Koristite distributivno svojstvo da biste pomnožili 4x sa \frac{3}{5}x-\frac{1}{2}.

$$\frac{6}{5}x^{2}-x+4x\times \frac{3}{5}x+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{6}{5}x^{2}-x+4x^{2}\times \frac{3}{5}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Izrazite 4\times \frac{3}{5} kao jedan razlomak.

$$\frac{6}{5}x^{2}-x+\frac{4\times 3}{5}x^{2}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite 4 i 3 da biste dobili 12.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+4x\left(-\frac{1}{2}\right)-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Izrazite 4\left(-\frac{1}{2}\right) kao jedan razlomak.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+\frac{4\left(-1\right)}{2}x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Pomnožite 4 i -1 da biste dobili -4.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}+\frac{-4}{2}x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Podijelite -4 sa 2 da biste dobili -2.

$$\frac{6}{5}x^{2}-x+\frac{12}{5}x^{2}-2x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Kombinirajte \frac{6}{5}x^{2} i \frac{12}{5}x^{2} da biste dobili \frac{18}{5}x^{2}.

$$\frac{18}{5}x^{2}-x-2x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Kombinirajte -x i -2x da biste dobili -3x.

$$\frac{18}{5}x^{2}-3x-\left(\frac{3}{5}x-\frac{1}{2}\right)$$

Da biste pronašli suprotnu vrijednost od \frac{3}{5}x-\frac{1}{2}, pronađite suprotnu vrijednost svakog izraza.

$$\frac{18}{5}x^{2}-3x-\frac{3}{5}x-\left(-\frac{1}{2}\right)$$

Opozit broja -\frac{1}{2} je \frac{1}{2}.

$$\frac{18}{5}x^{2}-3x-\frac{3}{5}x+\frac{1}{2}$$

Kombinirajte -3x i -\frac{3}{5}x da biste dobili -\frac{18}{5}x.

$$\frac{18}{5}x^{2}-\frac{18}{5}x+\frac{1}{2}$$