Final answer:
The speaker means that in times of pain and struggle, we put on a happy face to hide our true emotions.
Step-by-step explanation:
In the poem "We Wear the Mask," when the speaker says, "with torn and bleeding hearts we smile," he means that in times of pain and struggle, we put on a happy face to hide our true emotions. The speaker is suggesting that society expects us to present a positive image even when we are hurting inside. This relates to the theme of masks and the idea of concealing one's true feelings behind a façade.