Identity of tangent

Prove that : tan(5x)-tan(3x)-tan(2x)=tan(5x)tan(3x)tan(2x) proving : tan(2x)=tan(5x-3x) =[tan(5x)-tan(3x)]/[1+tan(5x)tan(3x)] tan(2x)+tan(5x)tan(3x)tan(2x)=tan(5x)-tan(3x) tan(5x)tan(3x)tan(2x)=tan(5x)-tan(3x)-tan(2x) or tan(5x)-tan(3x)-tan(2x)=tan(5x)tan(3x)tan(2x) to be proved

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