Question

Va rog!
Efectuati,utilizand formulele de calcul.
a) (x+3)²
b) (2x-1)²
c) (3x-2)²
d) (4x-3)²

Answer 1

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

Answer 2

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.