# Free SAT Practice Questions

Question 1 of 1
ID: SAT-ATIM-9
Section: Math - Additional Topics in Math
Topics: Trigonometry; Conversion
Difficulty level: Medium

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If $\left(3-2i\right)\left(3-i\right)\left(2+i\right)=a+ib$, where a and b are real numbers and the imaginary number $i$ is such that $i^2=-1$, what is the value of $\left(2a+3b\right)$? (without calculator)