Subjects algebra

Simplify Expression 2214A7

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Question: User: $\sqrt{25} - 9 + p$ $(-7)^2 - \sqrt{16} =$
1. **State the problem:** Simplify the expression $$\sqrt{25} - 9 + p \quad (-7)^2 - \sqrt{16}$$. 2. **Recall important formulas and rules:** - The square root of a perfect square $\sqrt{a^2} = a$. - Squaring a number means multiplying it by itself: $(-7)^2 = (-7) \times (-7)$. 3. **Calculate each term:** - $\sqrt{25} = 5$ because $5^2 = 25$. - $(-7)^2 = 49$ because $-7 \times -7 = 49$. - $\sqrt{16} = 4$ because $4^2 = 16$. 4. **Substitute these values back into the expression:** $$5 - 9 + p \quad 49 - 4$$ 5. **Simplify each part:** - $5 - 9 = -4$ - $49 - 4 = 45$ 6. **Write the simplified expression:** $$-4 + p \quad 45$$ **Final answer:** $$-4 + p \quad 45$$