Begin by expanding brackets using FOIL (first, outer, inner, last) method (demonstrated on whiteboard to make clear). Multiplying the first term of each bracket gives 3x^{2}, multiplying outer terms gives 3x, multiplying the inner terms gives -5x, and multiplying the last term of each bracket gives -15. Therefore we have 3x^{2}+3x-5x-15. Collecting like terms and simplifying gives us 3x^{2}-2x-15.

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