Issolvi 6x(x-1)^2-3x*(x+1)^2

$$6 x ( x - 1 ) ^ { 2 } - 3 x \cdot ( x + 1 ) ^ { 2 }$$

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 6x b'x^{2}-2x+1.

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

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

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

Uża l-propjetà distributtiva biex timmultiplika -3x b'x^{2}+2x+1.

$$6x^{3}-12x^{2}+6x-3x^{3}-6x^{2}-3x$$

Ikkombina 6x^{3} u -3x^{3} biex tikseb 3x^{3}.

$$3x^{3}-12x^{2}+6x-6x^{2}-3x$$

Ikkombina -12x^{2} u -6x^{2} biex tikseb -18x^{2}.

$$3x^{3}-18x^{2}+6x-3x$$

Ikkombina 6x u -3x biex tikseb 3x.

$$3x^{3}-18x^{2}+3x$$

Espandi

$$3x^{3}-18x^{2}+3x$$

Passi tas-Soluzzjonijiet

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

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

Uża l-propjetà distributtiva biex timmultiplika 6x b'x^{2}-2x+1.

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

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

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

Uża l-propjetà distributtiva biex timmultiplika -3x b'x^{2}+2x+1.

$$6x^{3}-12x^{2}+6x-3x^{3}-6x^{2}-3x$$

Ikkombina 6x^{3} u -3x^{3} biex tikseb 3x^{3}.

$$3x^{3}-12x^{2}+6x-6x^{2}-3x$$

Ikkombina -12x^{2} u -6x^{2} biex tikseb -18x^{2}.

$$3x^{3}-18x^{2}+6x-3x$$

Ikkombina 6x u -3x biex tikseb 3x.

$$3x^{3}-18x^{2}+3x$$