" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
4x²-20x+25=(2x-5)²=(2x-5)(2x-5)
25x²-40xz+16z²=(5x-4z)²=(5x-4z)(5x-4z)
9x²-b²=(3x)²-b²=(3x-b)(3x+b) ze wzoru : a²-b²=(a-b)(a+b)
(5x-2)²-36=(5x-2)²-6²=(5x-2-6)(5x-2+6)=(5x-8)(5x+4)
4x²+4x+1=(2x+1)²=(2x+1)(2x+1)
x²-8xy+16y²=(x-4y)²=(x-4y)(x-4y)
36m²+12m+1=(6m+1)²=(6m+1)(6m+1)
16b²-9²=(4b)²-3²=(4b-3)(4b+3)
(6x+1)²-(6x-5)²=[6x+1-(6x-5)] (6x+1+6x-5)=
(6x+1-6x+5)(12x-4)=6(12x-4)=6*4(3x-1)=24(3x-1)
9a²-12ay+4y²=(3a-2y)²=(3a-2y)(3a-2y)
4n²+12n+9=(2n+3)²=(2n+3)(2n+3)
49x²+112xy+64y²=(7x+8y)²=(7x+8y)(7x+8y)
5-x²=(√5 - x)(√5 + x)
x^4-81=(x²)²-9²=(x²-9)(x²+9)=(x-3)(x+3)(x²+9)
-----------------------------------------
zastosowano wzory :
(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
a²-b²=(a-b)(a+b)