I'm confused by a line in the following wikipedia article on the squeeze operator in deriving the action of the squeeze operator on Heisenberg basis, the article seems to imply that $$[(\hat{a}^{\dagger})^2, \hat{a}] = -2\hat{a}^{\dagger}.$$
I'm confused by this, because as I expand $$[(\hat{a}^{\dagger})^2, \hat{a}] = (\hat{a}^{\dagger})^2\hat{a} - \hat{a}(\hat{a}^{\dagger})^2 = \hat{a}^{\dagger}[\hat{a}^{\dagger}, \hat{a}]\hat{a}^{\dagger}=-(\hat{a}^{\dagger})^{2}.$$
I'm wondering if there is typo in the article?