Issolvi (5n+1/2)(4n-4/5)

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

Evalwa

$$20n^{2}-2n-\frac{2}{5}$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 5n+\frac{1}{2} b'kull terminu ta' 4n-\frac{4}{5}.

$$20n^{2}+5n\left(-\frac{4}{5}\right)+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Annulla 5 u 5.

$$20n^{2}-4n+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Immultiplika \frac{1}{2} u 4 biex tikseb \frac{4}{2}.

$$20n^{2}-4n+\frac{4}{2}n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Iddividi 4 b'2 biex tikseb2.

$$20n^{2}-4n+2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Ikkombina -4n u 2n biex tikseb -2n.

$$20n^{2}-2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Immultiplika \frac{1}{2} b'-\frac{4}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$20n^{2}-2n+\frac{1\left(-4\right)}{2\times 5}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\left(-4\right)}{2\times 5}.

$$20n^{2}-2n+\frac{-4}{10}$$

Naqqas il-frazzjoni \frac{-4}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$20n^{2}-2n-\frac{2}{5}$$

Espandi

$$20n^{2}-2n-\frac{2}{5}$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 5n+\frac{1}{2} b'kull terminu ta' 4n-\frac{4}{5}.

$$20n^{2}+5n\left(-\frac{4}{5}\right)+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Annulla 5 u 5.

$$20n^{2}-4n+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Immultiplika \frac{1}{2} u 4 biex tikseb \frac{4}{2}.

$$20n^{2}-4n+\frac{4}{2}n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Iddividi 4 b'2 biex tikseb2.

$$20n^{2}-4n+2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Ikkombina -4n u 2n biex tikseb -2n.

$$20n^{2}-2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Immultiplika \frac{1}{2} b'-\frac{4}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$20n^{2}-2n+\frac{1\left(-4\right)}{2\times 5}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\left(-4\right)}{2\times 5}.

$$20n^{2}-2n+\frac{-4}{10}$$

Naqqas il-frazzjoni \frac{-4}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$20n^{2}-2n-\frac{2}{5}$$