Mathématiques

Question

Développer chaque expression en utilisant l'identités remarquable;
a)(x+3)²
b)(x+6)²
c)(3x+2)²
d(1+5a)²
e)(x-4)²
f)(x-5)²
g)(x-5)²
h)(5x-1
i)(10-3x)²
j)(7-x)(7+x)
k)(1-y)(1+y)
L)(1-3x)(1+3x)
m)(5b+2)(5b-2)

1 Réponse

  • a/ x²+2×x×3+3² = x²+6x+9
    b/x²+2×x×6+6² = x²+12x+36
    c/(3x)²+2×3x×2+2² = 9x²+12x+4
    d/1²+2×1×5a+(5a)² = 1+10a+25a²
    e/x²-2×x×4+4² = x²-8x+16
    f/ x²-2×x×5+5² = x²-10x+25
    g/ x²-2×x×5+5² = x²-10x+25
    h/ (5x)²-2×5x×1+1² = 25x²-10x+1
    i/ 10²-2×10×3x+(3x)² = 100-60x+9x²
    j/7²-x² = 49-x²
    k/ 1²-y² = 1-y²
    l/1²-(3x)² = 1 - 9x²
    m/ (5b)² - 2² = 25b² - 4

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