MCQ
Simplify $(2ab + 4c)^2 - (2ab - 4c)^2.$
- ✓$32abc$
- B$-32abc$
- C$8a^2b^2 + 32c^2$
- D$-8a^2b^2 + 32c^2$
✓
Answer
Correct option: A.
$32abc$
.A. $32abc$
Solution:
Using identity $a^2 - b^2 = (a + b)(a - b)$
$(2ab + 4c)^2 - (2ab - 4c)^2 = [(2ab + 4c) + (2ab - 4c)] [(2ab + 4c) - (2ab - 4c)] = (4ab)(8c) = 32abc.$
Solution:
Using identity $a^2 - b^2 = (a + b)(a - b)$
$(2ab + 4c)^2 - (2ab - 4c)^2 = [(2ab + 4c) + (2ab - 4c)] [(2ab + 4c) - (2ab - 4c)] = (4ab)(8c) = 32abc.$
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