Maths

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Differentiate using the product rule.

How do i get from
dy/dx = d(uv)/dx = u dv/dx + v du/dx
=(5x-2)^3[-6(3-x)^5]+(3-x)^6[15(5x-2)^2]
to:
=(5x-2)^2(3-x)^5(-30x+12+45-15x)

it's an example taken from my text book. Could you help me?

thank you!

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