Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
458(xsin(x))2cos(x)
Evaluate
sin(x)×x×916xsin(2x)
Multiply the terms
sin(x)sin(2x)×x×916x
Multiply the terms
916sin(x)sin(2x)×x×x
Multiply the terms
916sin(x)sin(2x)×x2
Transform the expression
More Steps
Evaluate
sin(x)sin(2x)×x2
Use sin(2t)=2sintcost to transform the expression
sin(x)×2cos(x)sin(x)×x2
Multiply the terms
sin2(x)cos(x)×2x2
Use the commutative property to reorder the terms
2sin2(x)cos(x)×x2
Multiply the terms
2(xsin(x))2cos(x)
9162(xsin(x))2cos(x)
Solution
458(xsin(x))2cos(x)
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