Issolvi (a-2)^3+(a-1)^3=

$$( a - 2 ) ^ { 3 } + ( a - 1 ) ^ { 3 } =$$

Evalwa

$$\left(2a-3\right)\left(a^{2}-3a+3\right)$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} biex tespandi \left(a-2\right)^{3}.

$$a^{3}-6a^{2}+12a-8+\left(a-1\right)^{3}$$

Uża teorema binomjali \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} biex tespandi \left(a-1\right)^{3}.

$$a^{3}-6a^{2}+12a-8+a^{3}-3a^{2}+3a-1$$

Ikkombina a^{3} u a^{3} biex tikseb 2a^{3}.

$$2a^{3}-6a^{2}+12a-8-3a^{2}+3a-1$$

Ikkombina -6a^{2} u -3a^{2} biex tikseb -9a^{2}.

$$2a^{3}-9a^{2}+12a-8+3a-1$$

Ikkombina 12a u 3a biex tikseb 15a.

$$2a^{3}-9a^{2}+15a-8-1$$

Naqqas 1 minn -8 biex tikseb -9.

$$2a^{3}-9a^{2}+15a-9$$

Espandi

$$2a^{3}-9a^{2}+15a-9$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} biex tespandi \left(a-2\right)^{3}.

$$a^{3}-6a^{2}+12a-8+\left(a-1\right)^{3}$$

Uża teorema binomjali \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} biex tespandi \left(a-1\right)^{3}.

$$a^{3}-6a^{2}+12a-8+a^{3}-3a^{2}+3a-1$$

Ikkombina a^{3} u a^{3} biex tikseb 2a^{3}.

$$2a^{3}-6a^{2}+12a-8-3a^{2}+3a-1$$

Ikkombina -6a^{2} u -3a^{2} biex tikseb -9a^{2}.

$$2a^{3}-9a^{2}+12a-8+3a-1$$

Ikkombina 12a u 3a biex tikseb 15a.

$$2a^{3}-9a^{2}+15a-8-1$$

Naqqas 1 minn -8 biex tikseb -9.

$$2a^{3}-9a^{2}+15a-9$$