Sagot :
bonjour
a²-b² se factorise par (a+b)(a-b)
A = (3(x-1))² - 5² = (3(x-1) +5) (3(x-1)-5)
= (3x-3+5) (3x-3-5)
= (3x+2) (3x-8)
et
B= 4² - (2(2x+3))²
= (4 + 2(2x+3)) (4 - 2(2x+3))
= (4+4x+6) (4-4x-6)
= (4x+10) (-4x-2)
= 2(2x+5) * 2(-2x-1)
= 4 (2x+5) (-2x-1)
Bonjour
factoriser ces expressions :
A(x)= 9(x-1) au carré - 25
A(x) = 3^2(x - 1)^2 - 5^2
Du type : a^2 - b^2 = (a - b)(a + b)
A(x) = [3(x - 1) - 5][3(x - 1) + 5]
A(x) = (3x - 3 - 5)(3x - 3 + 5)
A(x) = (3x - 8)(3x + 2)
B(x)= 16-4(2x+3) au carré
B(x) = 4^2 - 2^2(2x + 3)^2
B(x) = [4 - 2(2x + 3)][4 + 2(2x + 3)]
B(x) = (4 - 4x - 6)(4 + 4x + 6)
B(x) = (-4x - 2)(4x + 10)
B(x) = -2(2x + 1) * 2(2x + 5)
B(x) = -4(2x + 1)(2x + 5)