Question
(a-3)(a+3)- 〖[(2a-5)〗^2- (a+6)(a-9)] + (a+5)^3
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Answer to a math question (a-3)(a+3)- 〖[(2a-5)〗^2- (a+6)(a-9)] + (a+5)^3
Madelyn
4.786 Answers
1. Expand:
(a-3)(a+3) = a^2 - 9
2. Expand:
〖(2a-5)〗^2 = 4a^2 - 20a + 25
3. Expand:
(a+6)(a-9) = a^2 - 9a + 6a - 54 = a^2 - 3a - 54
4. Combine and simplify terms:
〖(4a^2 - 20a + 25) - (a^2 - 3a - 54) = 4a^2 - 20a + 25 - a^2 + 3a + 54 = 3a^2 - 17a + 79
5. Add back to the expression:
(a^2 - 9) - (3a^2 - 17a + 79)
6. Combine and simplify terms:
a^2 - 9 - 3a^2 + 17a - 79 = -2a^2 + 17a - 88
7. Now expand:
(a+5)^3 = a^3 + 15a^2 + 75a + 125
8. Combine:
-2a^2 + 17a - 88 + a^3 + 15a^2 + 75a + 125
9. Simplify entire expression:
a^3 + 18a^2 + 92a + 37
Final answer:
a^3 + 18a^2 - 11a - 207
2. Expand:
3. Expand:
4. Combine and simplify terms:
5. Add back to the expression:
6. Combine and simplify terms:
7. Now expand:
8. Combine:
9. Simplify entire expression:
Final answer:
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