2020/04/03

[고교 수학] 곱셈 공식


(1-1) (𝑥+𝑦)² = 𝑥²+2𝑥𝑦+𝑦²

(1-2) (𝑥-𝑦)² = 𝑥²-2𝑥𝑦+𝑦²

(2) (𝑥+𝑦)(𝑥-𝑦) = 𝑥²-𝑦²

(3) (𝑥+𝑎)(𝑥+𝑏) = 𝑥²+(𝑎+𝑏)𝑥+𝑎𝑏

(4) (𝑎𝑥+𝑏)(𝑐𝑥+𝑑) = 𝑎𝑐𝑥²+(𝑎𝑑+𝑏𝑐)𝑥+𝑏𝑑

(5) (𝑥+𝑦+𝑧) = 𝑥²+𝑦²+𝑧²+2𝑥𝑦+2𝑦𝑧+2𝑧𝑥

(6-1) (𝑥+𝑦)³ = 𝑥³+3𝑥²𝑦+3𝑥𝑦²+𝑦³

(6-2) (𝑥-𝑦)³ = 𝑥³-3𝑥²𝑦+3𝑥𝑦²-𝑦³

(7-1) (𝑥+𝑦)(𝑥²-𝑥𝑦+𝑦²) = 𝑥³+𝑦³

(7-2) (𝑥-𝑦)(𝑥²+𝑥𝑦+𝑦²) = 𝑥³-𝑦³



(2020.06.11.)


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