迴セ蝨ィ蝨ー縺ィ蜑榊セ後�鬆�岼 *** 蝓コ譛ャ ***/蜈ア騾壼屏謨ー縺ョ蝗�謨ー蛻�ァ」/�剃ケ励↓縺ェ繧句屏謨ー蛻�ァ」/�剃ケ暦シ搾シ剃ケ励�蝗�謨ー蛻�ァ」1/�剃ケ暦シ搾シ剃ケ励�蝗�謨ー蛻�ァ」2/*** 蜥後→遨� ***/蜥後→遨坂��呈焚1/蜥後→遨坂��呈焚2/蜥後→遨坂��呈焚3/蜥後→遨阪�蝗�謨ー蛻�ァ」1/蜥後→遨阪�蝗�謨ー蛻�ァ」2/蜥後→遨阪�蝗�謨ー蛻�ァ」3/蜥後→遨阪�蝗�謨ー蛻�ァ」4/蜥後→遨阪�蝗�謨ー蛻�ァ」5/蜥後→遨阪�蝗�謨ー蛻�ァ」6/*** 髢馴&縺�d縺吶> ***/髢馴&縺�d縺吶>�� /髢馴&縺�d縺吶>�� /髢馴&縺�d縺吶>��/*** 縺セ縺ィ繧� ***/縺セ縺ィ繧�1/縺セ縺ィ繧�シ�/鄂ョ縺肴鋤縺医↓繧医k蝗�謨ー蛻�ァ」/
を使うと,□2−○2の形の式が因数分解できます. 注意:このように因数分解できるのは□2−○2のように−の形になっているときだけです.
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※もう少し正確に言うと,
□2+○2の形の式は,中学校の範囲の数学では,因数分解できません. 高校の数学の範囲では,因数分解できます. (虚数を使って因数分解します) ⇒この話は,中学生に「うそ」や「安物」を教えているということではない.学習の発達段階に応じて,想定している「もの」の範囲が変わることがあり,各々の想定している範囲の中では「できない」が「できる」に変わる. 【範囲を変えたら結論が逆になる他の例】 ○3−5は,小学生では負の数を教えないから「この計算はできない」.しかし,中学生では「−2」 |
【問題】
次の空欄を埋めなさい.(半角数字[1バイト文字]で入力してください.数字は正の整数とします.) |
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9=32だからx2−9=x2−32=(x+3)(x−3)になります.
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25=52だからx2−25=x2−52=(x+5)(x−5)になります.
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81=92だからx2−81=x2−92=(x+9)(x−9)になります.
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2x2=(?)2 , 32=(??)2と考えると難しくなりますが,共通因数の2でくくりだすと簡単になります.
2x2−32=2(x2−16) 次にかっこの中は, 16=42だからx2−16=x2−42=(x+4)(x−4)になります. |
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4x2=(2x)2 , 1=12だから4x2−1=(2x)2−12=(2x+1)(2x−1)になります.
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