Datrys 80w^4v^2-5v^2

$$80 w ^ { 4 } v ^ { 2 } - 5 v ^ { 2 }$$

Ffactor

$$5\left(2w-1\right)\left(2w+1\right)v^{2}\left(4w^{2}+1\right)$$

Camau Ateb

Ffactora allan 5.

$$5\left(16w^{4}v^{2}-v^{2}\right)$$

Ystyriwch 16w^{4}v^{2}-v^{2}. Ffactora allan v^{2}.

$$v^{2}\left(16w^{4}-1\right)$$

Ystyriwch 16w^{4}-1. Ailysgrifennwch 16w^{4}-1 fel \left(4w^{2}\right)^{2}-1^{2}. Gellir ffactorio’r gwahaniaeth rhwng sgwariau gan ddefnyddio’r rheol: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(4w^{2}-1\right)\left(4w^{2}+1\right)$$

Ystyriwch 4w^{2}-1. Ailysgrifennwch 4w^{2}-1 fel \left(2w\right)^{2}-1^{2}. Gellir ffactorio’r gwahaniaeth rhwng sgwariau gan ddefnyddio’r rheol: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(2w-1\right)\left(2w+1\right)$$

Ailysgrifennwch y mynegiad cyfan wedi'i ffactorio. Nid yw'r polynomial 4w^{2}+1 yn cael ei ffactorio oherwydd does dim gwreiddiau rhesymegol ganddo.

$$5v^{2}\left(2w-1\right)\left(2w+1\right)\left(4w^{2}+1\right)$$

Enrhifo

$$5v^{2}\left(16w^{4}-1\right)$$