Les produits remarquables

Exemples :

(2x+3y)² = (2x)²+2(2x)(3y)+(3y)² = 4x²+12xy+9y²

(d-5f)² = (d)² - 2(d)(5f) + (5f)² = d²-10df+25f²

(x-4)(x+4) = x²-16

(2+a)³ = (2)³+3(2)²(a)+3(2)(a)²+(a)³ = 8+12a+4a²+a³

(3c-4)³ = (3c)³-3(3c)²(4)+3(3c)(4)²-(4)³ = 27c³-36c²+144c-64

(x-2y)(x²+2xy+4y²) = x³-8y³

(3x+1)(9x²-3x+1) = 27x³+1

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