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CALCUL LITTERAL1) Je me rappelle
2)
Aire de ABCD =
Aire de AEFG =
Aire de FHCJ =
Aire de EBHF =
Aire de GFJD =
(a+b)²
a²
b²
ab
ab
(a+b)² = a² + b² + ab + ab
= a² + b² + 2ab
a b
axa axb bxa bxb
= a² + ab + ba + b²
= a² + 2ab + b²
(a+b)² = a² + 2ab + b²
1001² = (1000 + 1)² = 1000² + 2 x1000x1 + 1²
= 1 000 000 + 2 000 + 1
= 1 002 001
(x+2)² = x² + 2 x x x 2 + 2²
= x² + 4 x + 4
3)
49 28 4 25 25
81 198 121 4 4
9 -24 16 49 49
a b
axa axb bxa bxb
= a² - ab - ba + b²
= a² - 2ab + b²
(a - b)² = a² - 2ab + b²
97² = (100 – 3)² = 100 ² - 2 * 100 * 3 + 3²
= 10 000 - 600 + 9
= 9 409
(x - 2)² = x² - 2 x x x 2 + 2²
= x² - 4 x + 4
4)
100 9 91 13*7 = 91
49 81 -32 16*(-2) = -32
16 25 -9 1*(-9) = -9
axa axb bxa bxb
= a² - ab + ba - b²
= a² - b²
(a + b)(a-b) = a² - b²
= 100² - 2²
= 10 000 - 4
= 9 996(x + 2)(x - 2) =
x² - 2²
= x² - 4
