1. We shouldn't throw our trash anywhere.
2. We should not litter.
3. We should take good care of animals.

Rachel: We shouldn't trash.
Correct: We shouldn't throw our trash anywhere.
Explanation: Trash is a noun. There's no verb in your sentence, so we
should write a verb after the word should.

Rachel: We should take good care for animals.
Correct: We should take good care of animals.
Explanation: We use of to show that something belongs to or related to someone or something