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If tanA\tan AtanA and tanB\tan BtanB are the roots of x2−12x+32=0x^2 - 12x + 32 = 0x2−12x+32=0.
What is the value of
sin2(A+B)−12sin(A+B)cos(A+B)+32cos2(A+B)? \sin^2(A+B)- 12\sin(A+B)\cos(A+B) + 32\cos^2(A+B) ? sin2(A+B)−12sin(A+B)cos(A+B)+32cos2(A+B)?
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