Question

Opera y simplifica
a) (3x²-5)²
b) (3x+2)·(2x²+3x-1)
c) (x+3)²·(x-1)

Answer 1

a)

 (3x²-5)² = (3x²)² - 2(3x²)(5)+(5²)
 
$(3 x^{2} -5)^{2} = 9 x^{4} -30 x^{2} + 25$



b)

(3x+2)·(2x²+3x-1)
(3x)(2x²) + (3x)(3x) + (3x)(-1) + (2)(2x²) + (3)(3x)+ (2)(-1)
6x³ + 9x² -3x+ 4x² + 9x-2
6x³ + 13x² + 6x -2

c)

(x+3)²·(x-1)
[(x)²+2(x)(3)+(3)²](x-1)
(x²+6x+9)(x-1)
(x²)(x)+(x²)(-1)+(6x)(x)+(6x)(-1)+(9)(x)+ (9)(-1)
x³-x² +6x² -6x + 9x -9
x³ +5x² +3x -9