Question

Desarrolla los siguientes productos notables

(x-1)²

(x²-1)²

(4+3y³)²

(x-2)²

Answer 1

( x -1)²    aplicamos productos notables (a -b)² = a² -2ab +b²
x² -2x +1


(x² - 1)² = (x²)² 2x² +1 = x⁴ -2x² +1


(4 +3y³)²  aplicamos (a +b )² = a² +2ab +b²
4² +2(4)(3y³) +(3y³)² = 16 +24y³ +9 y⁶

(x -2)² = x² - 2(x)(2) +2² = x² -4x +4

Answer 2

Tenemos:

(x-1)²
(x)²-2(x)(1)+(1)²
x²-2x+1

(x²-1)²
(x²)²-2(x²)(1)+(1)²
x⁴ -2x²+1

(4+3y³)²
(4)²+2(4)(3y³)+(3y³)²
16+24y³+9y⁶

(x-2)²
(x)²-2(x)(2)+(2)²
x²-4x+4

Espero ayude