Issolvi (x-1)(x+2)^2(x-i)^2

$$( x - 1 ) ( x + 2 ) ^ { 2 } ( x - i ) ^ { 2 }$$

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

Uża l-propjetà distributtiva biex timmultiplika x^{3}+3x^{2}-4 b'x^{2}-2ix-1 u kkombina termini simili.

$$x^{5}+\left(3-2i\right)x^{4}+\left(-1-6i\right)x^{3}-7x^{2}+8ix+4$$

Espandi

$$x^{5}+\left(3-2i\right)x^{4}+\left(-1-6i\right)x^{3}-7x^{2}+8ix+4$$

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

Uża l-propjetà distributtiva biex timmultiplika x^{3}+3x^{2}-4 b'x^{2}-2ix-1 u kkombina termini simili.

$$x^{5}+\left(3-2i\right)x^{4}+\left(-1-6i\right)x^{3}-7x^{2}+8ix+4$$