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The dual nature of light. Sometimes it behaves as a particle, sometimes as a wave.

You take the power of X down and multiply the term by it. Then you reduce the power of the term in X by 1.

Divide the term in x by 2 and then put it in the bracket which will be squared. The last term from that expansion needs to be adjusted for.

A good way to remember which form of the past tense to use is to think about when the action took place. The imperfect (with endings -aba and -ía) is used for continuous actions in the past, so you would ...

(3x^2+14x-5)(4x-3)= 12x^3-9x^2+56x^2-42x-20x+15=12x^3+47x^2-62x+15