Question : Simplify the following expression.
$(4 x + 1)^2 - (4 x + 3)(4 x - 1)$
Option 1: $(4 x + 1)$
Option 2: $4$
Option 3: $(4x- 3)$
Option 4: $4x$
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Answer (1)
25th Jan, 2024
Correct Answer: $4$
Solution :
$(4x + 1)^2 - (4x + 3)(4x - 1)$
$=16x^{2} + 1 + 8x-(16x^{2} -4x + 12x - 3)$
$=16x^{2} + 1 + 8x - 16x^{2} + 4x - 12x + 3$
$=4$
Hence, the correct answer is 4.
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