Raspuns:
Explicație.pas.cu.pas:
a)(x+3)²
folosind formula (a+b)²=a²+2ab+b²,transformăm
x²+2x×3+3²=x²+6x+9
b)(2x-1)²
folosind formula (a-b)²=a²-2ab+b²,transformăm expresia
(2x)²-2×2x×1+1²=4x²-4x+1
c)(3x-2)²
folosind formula (a-b)²=a²-2ab+b²,transformăm expresia
(3x²)-2×3x×2+2²=9x²-12x+4
d)(4x-3)²
folosind formula (a-b)²=a²-2ab+b²,transformăm expresia
(4x)²-2×4x×3+3²=16x²-24x+9
a) (x+3)² = x²+6x+9
Formula de calcul folosita: (a+b)² = a²+2ab+b², unde, in cazul nostru, a = x si b = 3.
b) (2x-1)² = 4x²-4x+1
Formula: (a-b)² = a²-2ab+b², unde a = 2x si b = 1.
c) (3x-2)² = 9x²-12x+4
Formula: (a-b)² = a²-2ab+b², unde a = 3x si b = 2.
d) (4x-3)² = 16x²-24x+9
Formula: (a-b)² = a²-2ab+b², unde a = 4x si b = 3.
