# Difference between revisions of "2002 AMC 12B Problems/Problem 2"

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== Problem == | == Problem == | ||

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− | when <math>x=4</math>? | + | What is the value of <math>(3x - 2)(4x + 1) - (3x - 2)4x + 1</math> when <math>x=4</math>? |

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<math>\mathrm{(A)}\ 0 | <math>\mathrm{(A)}\ 0 | ||

\qquad\mathrm{(B)}\ 1 | \qquad\mathrm{(B)}\ 1 | ||

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\qquad\mathrm{(E)}\ 12</math> | \qquad\mathrm{(E)}\ 12</math> | ||

== Solution == | == Solution == | ||

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<cmath>(3x-2)[(4x+1)-4x] + 1 = 3x-2 + 1 = 3x-1 = 3(4) - 1 = 11\ \mathrm{(D)}</cmath> | <cmath>(3x-2)[(4x+1)-4x] + 1 = 3x-2 + 1 = 3x-1 = 3(4) - 1 = 11\ \mathrm{(D)}</cmath> | ||