Issolvi 8-x+1/2(x-4)(2x-1/4x^2+1)-2(2-2x+1/4x^2-1)

$$8 - x + \frac { 1 } { 2 } ( x - 4 ) ( 2 x - \frac { 1 } { 4 } x ^ { 2 } + 1 ) - 2 ( 2 - 2 x + \frac { 1 } { 4 } x ^ { 2 } - 1 )$$

Evalwa

$$-\frac{\left(x-8\right)\left(x^{2}+4\right)}{8}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'x-4.

$$8-x+\left(\frac{1}{2}x-2\right)\left(2x-\frac{1}{4}x^{2}+1\right)-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2}x-2 b'2x-\frac{1}{4}x^{2}+1 u kkombina termini simili.

$$8-x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{7}{2}x-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Ikkombina -x u -\frac{7}{2}x biex tikseb -\frac{9}{2}x.

$$8-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Naqqas 2 minn 8 biex tikseb 6.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Naqqas 1 minn 2 biex tikseb 1.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(1-2x+\frac{1}{4}x^{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'1-2x+\frac{1}{4}x^{2}.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2+4x-\frac{1}{2}x^{2}$$

Naqqas 2 minn 6 biex tikseb 4.

$$4-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}+4x-\frac{1}{2}x^{2}$$

Ikkombina -\frac{9}{2}x u 4x biex tikseb -\frac{1}{2}x.

$$4-\frac{1}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{1}{2}x^{2}$$

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

$$4-\frac{1}{2}x+x^{2}-\frac{1}{8}x^{3}$$

Espandi

$$-\frac{x^{3}}{8}+x^{2}-\frac{x}{2}+4$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'x-4.

$$8-x+\left(\frac{1}{2}x-2\right)\left(2x-\frac{1}{4}x^{2}+1\right)-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2}x-2 b'2x-\frac{1}{4}x^{2}+1 u kkombina termini simili.

$$8-x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{7}{2}x-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Ikkombina -x u -\frac{7}{2}x biex tikseb -\frac{9}{2}x.

$$8-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Naqqas 2 minn 8 biex tikseb 6.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(2-2x+\frac{1}{4}x^{2}-1\right)$$

Naqqas 1 minn 2 biex tikseb 1.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2\left(1-2x+\frac{1}{4}x^{2}\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'1-2x+\frac{1}{4}x^{2}.

$$6-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-2+4x-\frac{1}{2}x^{2}$$

Naqqas 2 minn 6 biex tikseb 4.

$$4-\frac{9}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}+4x-\frac{1}{2}x^{2}$$

Ikkombina -\frac{9}{2}x u 4x biex tikseb -\frac{1}{2}x.

$$4-\frac{1}{2}x+\frac{3}{2}x^{2}-\frac{1}{8}x^{3}-\frac{1}{2}x^{2}$$

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

$$4-\frac{1}{2}x+x^{2}-\frac{1}{8}x^{3}$$