Question

simplify
2 sinx cos^3 x + 2 sin^3 x cos x
help :(

Answer 1

Have you considered factoring out 2sin(x)cos(x) from each term?

Answer 2

Yeah. Factor out 2sin(x)cox(x). Hence we'll have
2sin(x)cos(x) [cos^2(x) + sin^2(x)]
Can you do the next process now? @shorouq91

Answer 3

2sin(x)cos^3(x)+2sin^3(x)cos(x) = 2sin(x)cos(x) {(sin^2(x)+cos^2(x)} = sin2x
Since 2sin(x)cos(x) = sin2x & sin^2(x)+cos^2(x) = 1

Answer 4

Correct