Question

resolver cada cuadrado de binomio 1. (3x + 2)2 2. (6x − 5y)2 3. (3x + y)3 4. (5x − 4y)3 5. (3x − 2y)3

Answer 1

Respuesta:

(3x + 2)² = 9x²  +  12x  +  4

(6x - 5Y)² = 36x² -  60xy  +  25y²

(3x + y)³ = 27x³+27x²y+9xy² + y³

(5x - 4y)³ = 25x³ - 300x²y  +  240xy² -  64y³

(3x - 2y)³ = 27x³-54x²y+36xy²-8y³

Explicación paso a paso:

(3x + 2)²  =  (3x)² +  2 . (3x) . 2  +  2²  =  9x²  +  12x  +  4

(6x - 5y)² = (6x)² - 2 . 6x . 5y + (5y)² =  36x² -  60xy  +  25y²

(3x  +  y)³  =  (3x)³  +  3. (3x)². y +3(3x). y² + y³ =27x³+27x²y+9xy² + y³

(5x - 4y)³ = (5x)³ - 3(5x)².(4y)+ 3(5x)(4y)²- (4y)³=

               =25x³ - 300x²y  +  240xy² -  64y³

(3x - 2y)³ = (3x)³- 3(3x)².(2y) + 3(3x)(2y)²- (2y)³

               = 27x³-54x²y+36xy²-8y³