Rešite 4left(2p+3qright)^2-left(3p-qright)^2

$$4 { \left(2p+3q \right) }^{ 2 } - { \left(3p-q \right) }^{ 2 }$$

Ovrednoti

$$\left(p+7q\right)\left(7p+5q\right)$$

Koraki rešitve

Uporabite binomski izrek \left(a+b\right)^{2}=a^{2}+2ab+b^{2}, da razširite \left(2p+3q\right)^{2}.

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Uporabite distributivnost, da pomnožite 4 s/z 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

Uporabite binomski izrek \left(a-b\right)^{2}=a^{2}-2ab+b^{2}, da razširite \left(3p-q\right)^{2}.

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

Če želite poiskati nasprotno vrednost za 9p^{2}-6pq+q^{2}, poiščite nasprotno vrednost vsakega izraza.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

Združite 16p^{2} in -9p^{2}, da dobite 7p^{2}.

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Združite 48pq in 6pq, da dobite 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Združite 36q^{2} in -q^{2}, da dobite 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$

Razširi

$$7p^{2}+54pq+35q^{2}$$

Koraki rešitve

Uporabite binomski izrek \left(a+b\right)^{2}=a^{2}+2ab+b^{2}, da razširite \left(2p+3q\right)^{2}.

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Uporabite distributivnost, da pomnožite 4 s/z 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

Uporabite binomski izrek \left(a-b\right)^{2}=a^{2}-2ab+b^{2}, da razširite \left(3p-q\right)^{2}.

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

Če želite poiskati nasprotno vrednost za 9p^{2}-6pq+q^{2}, poiščite nasprotno vrednost vsakega izraza.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

Združite 16p^{2} in -9p^{2}, da dobite 7p^{2}.

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Združite 48pq in 6pq, da dobite 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Združite 36q^{2} in -q^{2}, da dobite 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$