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Question

If x+14x=32 , find the value of 8x3+18x3.

A
18
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B
36
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C
24
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D
16
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Solution

The correct option is C 24
Given x+14x=322x+12x=3

Now, 8x3+18x3=(2x)3+1(2x)3=(2x+12x)(4x2+14x2+2x12x)=3[(2x+12x)22+1]=3[92+1]=24

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