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x²+16xy+64y²=(x+8y)²ってできますよね

そしたらここに代入します。
{2+8×(-1.5)}²=(2-12)²=(-10)²=100って感じです!

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x^2+16xy+64y^2=(x+8y)^2=(2-12)^2=100

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Were you able to resolve your confusion?