Issolvi G(x)=2(x-1)^2(x^2+1)

$$G ( x ) = 2 ( x - 1 ) ^ { 2 } ( x ^ { 2 } + 1 )$$

Evalwa

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

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

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

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

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

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

$$2x^{4}+4x^{2}-4x^{3}-4x+2$$

Espandi

$$2x^{4}-4x^{3}+4x^{2}-4x+2$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

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

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

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

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

$$2x^{4}+4x^{2}-4x^{3}-4x+2$$