book Maths Puzzle Numerical Ability

how do i prove an associative, commutative, and distributive properties in algebra this is a difficult task for me and i need help asap, and if u can show me an example that would be great for each property. thanks for your help

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book Other Question

Solve the quadratic equation by factoring and applying the zero product principle.

12xsquare - 41x + 24 = 0

Thank you so much
How do you find the pattern of change in a graph for?

f(x)= -3x^2 - 50x + 4

f(x) = -x^2 + 5x - 3

f(x) = -6|x+3|

f(x) = |x+11|