Issolvi (2p)^2-(2p-2q)^2

$$( 2 p ) ^ { 2 } - ( 2 p - 2 q ) ^ { 2 }$$

Evalwa

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

Passi tas-Soluzzjonijiet

Espandi \left(2p\right)^{2}.

$$2^{2}p^{2}-\left(2p-2q\right)^{2}$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$4p^{2}-\left(2p-2q\right)^{2}$$

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

$$4p^{2}-\left(4p^{2}-8pq+4q^{2}\right)$$

Biex issib l-oppost ta' 4p^{2}-8pq+4q^{2}, sib l-oppost ta' kull terminu.

$$4p^{2}-4p^{2}+8pq-4q^{2}$$

Ikkombina 4p^{2} u -4p^{2} biex tikseb 0.

$$8pq-4q^{2}$$

Espandi

$$8pq-4q^{2}$$

Passi tas-Soluzzjonijiet

Espandi \left(2p\right)^{2}.

$$2^{2}p^{2}-\left(2p-2q\right)^{2}$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$4p^{2}-\left(2p-2q\right)^{2}$$

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

$$4p^{2}-\left(4p^{2}-8pq+4q^{2}\right)$$

Biex issib l-oppost ta' 4p^{2}-8pq+4q^{2}, sib l-oppost ta' kull terminu.

$$4p^{2}-4p^{2}+8pq-4q^{2}$$

Ikkombina 4p^{2} u -4p^{2} biex tikseb 0.

$$8pq-4q^{2}$$