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(3)y=-x^2-2x+c=-(x+1)^2+c+1 上に凸のグラフなのでxの範囲だとx=2の時最小になる -8+c=-3より c=5

(4)a^2b+a^2c-b^2c-ab^2=ab(a-b)+ac(a-b)=a(a-b)(b+c)

(5)tan(90-θ)=1/tanθ、tan(180-θ)=-tanθより
tanθ-tanθ=0

こんな感じです

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