2002 AMC 10B Problems/Problem 4

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Problem

What is the value of

$(3x-2)(4x+1)-(3x-2)4x+1$

when $x=4$?

$\mathrm{(A) \ } 0\qquad \mathrm{(B) \ } 1\qquad \mathrm{(C) \ } 10\qquad \mathrm{(D) \ } 11\qquad \mathrm{(E) \ } 12$

Solution

$(10)(17)-(10)(16)+1=170-160+1=11\Longrightarrow\mathrm{ {D} \ }$