book Maths Puzzle Numerical Ability

(8y^2-2y-3) - (9y^2-7y-1)

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book Other Question

Use implicit differentiation to find dy/dx:
x^2lnx-y^3lny=2
I feel stupid asking this question but, Is there a differnce between a logarithm of a product and the product of a logarithm? If there is a differnce can you explain it to me?