Issolvi -2p+2(2p-q-3)(4p-3q-7)

$$- 2 p + 2 ( 2 p - q - 3 ) ( 4 p - 3 q - 7 )$$

Evalwa

$$2\left(\left(2p-q-3\right)\left(4p-3q-7\right)-p\right)$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2 b'2p-q-3.

$$-2p+\left(4p-2q-6\right)\left(4p-3q-7\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4p-2q-6 b'kull terminu ta' 4p-3q-7.

$$-2p+16p^{2}-12pq-28p-8qp+6q^{2}+14q-24p+18q+42$$

Ikkombina -12pq u -8qp biex tikseb -20pq.

$$-2p+16p^{2}-20pq-28p+6q^{2}+14q-24p+18q+42$$

Ikkombina -28p u -24p biex tikseb -52p.

$$-2p+16p^{2}-20pq-52p+6q^{2}+14q+18q+42$$

Ikkombina 14q u 18q biex tikseb 32q.

$$-2p+16p^{2}-20pq-52p+6q^{2}+32q+42$$

Ikkombina -2p u -52p biex tikseb -54p.

$$-54p+16p^{2}-20pq+6q^{2}+32q+42$$

Espandi

$$16p^{2}-20pq-54p+6q^{2}+32q+42$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 2 b'2p-q-3.

$$-2p+\left(4p-2q-6\right)\left(4p-3q-7\right)$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 4p-2q-6 b'kull terminu ta' 4p-3q-7.

$$-2p+16p^{2}-12pq-28p-8qp+6q^{2}+14q-24p+18q+42$$

Ikkombina -12pq u -8qp biex tikseb -20pq.

$$-2p+16p^{2}-20pq-28p+6q^{2}+14q-24p+18q+42$$

Ikkombina -28p u -24p biex tikseb -52p.

$$-2p+16p^{2}-20pq-52p+6q^{2}+14q+18q+42$$

Ikkombina 14q u 18q biex tikseb 32q.

$$-2p+16p^{2}-20pq-52p+6q^{2}+32q+42$$

Ikkombina -2p u -52p biex tikseb -54p.

$$-54p+16p^{2}-20pq+6q^{2}+32q+42$$