Issolvi (3a+2)^2(3a-2)^2quadtext{(6)}999^2-1002*998

$$( 3 a + 2 ) ^ { 2 } ( 3 a - 2 ) ^ { 2 } \quad \text { (6) } 999 ^ { 2 } - 1002 \times 998$$

Evalwa

$$5988006\left(9a^{2}-4\right)^{2}-999996$$

Passi tas-Soluzzjonijiet

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

$$\left(9a^{2}+12a+4\right)\left(3a-2\right)^{2}\times 6\times 999^{2}-1002\times 998$$

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

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 6\times 999^{2}-1002\times 998$$

Ikkalkula 999 bil-power ta' 2 u tikseb 998001.

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 6\times 998001-1002\times 998$$

Immultiplika 6 u 998001 biex tikseb 5988006.

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 5988006-1002\times 998$$

Uża l-propjetà distributtiva biex timmultiplika 9a^{2}+12a+4 b'9a^{2}-12a+4 u kkombina termini simili.

$$\left(81a^{4}-72a^{2}+16\right)\times 5988006-1002\times 998$$

Uża l-propjetà distributtiva biex timmultiplika 81a^{4}-72a^{2}+16 b'5988006.

$$485028486a^{4}-431136432a^{2}[phone]\times 998$$

Immultiplika 1002 u 998 biex tikseb 999996.

$$485028486a^{4}-431136432a^{2}[phone]$$

Naqqas 999996 minn 95808096 biex tikseb 94808100.

$$485028486a^{4}-431136432a^{2}[phone]$$

Espandi

$$485028486a^{4}-431136432a^{2}[phone]$$

Passi tas-Soluzzjonijiet

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

$$\left(9a^{2}+12a+4\right)\left(3a-2\right)^{2}\times 6\times 999^{2}-1002\times 998$$

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

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 6\times 999^{2}-1002\times 998$$

Ikkalkula 999 bil-power ta' 2 u tikseb 998001.

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 6\times 998001-1002\times 998$$

Immultiplika 6 u 998001 biex tikseb 5988006.

$$\left(9a^{2}+12a+4\right)\left(9a^{2}-12a+4\right)\times 5988006-1002\times 998$$

Uża l-propjetà distributtiva biex timmultiplika 9a^{2}+12a+4 b'9a^{2}-12a+4 u kkombina termini simili.

$$\left(81a^{4}-72a^{2}+16\right)\times 5988006-1002\times 998$$

Uża l-propjetà distributtiva biex timmultiplika 81a^{4}-72a^{2}+16 b'5988006.

$$485028486a^{4}-431136432a^{2}[phone]\times 998$$

Immultiplika 1002 u 998 biex tikseb 999996.

$$485028486a^{4}-431136432a^{2}[phone]$$

Naqqas 999996 minn 95808096 biex tikseb 94808100.

$$485028486a^{4}-431136432a^{2}[phone]$$