SOLUTION: (sin3x-sin2x)(sin3x+sin2x)=(2sin{{{x/2}}}cos{{{(5x)/2}}})(2sin{{{(5x)/2}}}cos{{{x/2}}}) Show hiden steps between these two steps.

Question 1035286: (sin3x-sin2x)(sin3x+sin2x)=(2sincos)(2sincos)
Show hiden steps between these two steps.
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.

The key is this formula of Trigonometry:



(see the lesson Addition and subtraction of trigonometric functions in this site).


Apply it for the first parentheses.

Then apply it again for the second parentheses.

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