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Question

Simplify 3x2x49x216÷4x243x22x1

A
3x14(3x4)
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B
3x1(3x+4)
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C
3x+14(3x+4)
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D
None of the above
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Solution

The correct option is C 3x+14(3x+4)
3x2x49x216÷4x243x22x1

= 3x2x49x216×3x22x14x24

= (3x4)(x+1)(3x+4)(3x4)×(3x+1)(x1)4(x1)(x+1)

Cancelling (x+1)(x1)(3x4) from numerator and denominator

= 3x+14(3x+4)

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