Question

(3x+1)²
(4×2x)²
(x+3)²
(3x-5)²
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Answer 1

Extindem expresiile folosindu-ne de formulele de calcul prescurtat (a+b)² = a² + 2·a·b + b² şi (a-b)² = a² - 2·a·b + b².

○ (3x+1)² = (3x)² + 2·3x·1 + 1² = 3²·x² + 6x +1 = 9x² + 6x +1

○ (4+2x)² = 4² + 2·4·2x + (2x)² = 16 + 16x + 2²·x² = 16 + 16x + 4x²

○ (x+3)² = x² + 2·x·3 + 3² = x² + 6x+9

○ (3x-5)² = (3x)² - 2·3x·5 + 5² = 3² · x² - 30x + 25 = 9x² - 30x +25

Answer 2

Răspuns:

Salut

Formula:(a+b)^2=a^2+2ab+b^2

(a-b)^2=a^2-2ab+b^2

(3x+1)^2=(3x)^2+2*3x*1+1^2=9x^2+6x+1

(4*2x)^2=(8x)^2=64x^2

(x+3)^2=x^2+2x*3+3^2=x^2+6x+9

(3x-5)^2=(3x)^2-2*3x*5+5^2=9x^2-30x+25