Question

Desarrolla los siguientes productos notables

(1+3xcuarta)²

(3x-1)²

(a³-a²)²

(a+3) (a+3)

Answer 1

(1 +3x⁴ )²    aplicamos ( a +b)² = a² +2ab +b²
( 1 +3x⁴ ) ² = 1² +2(1)(3x⁴) +(3x⁴)² = 1 +6x⁴ +9x⁸

(3x -1)²  aplicamos ( a -b)² = a² -2ab +b²
(3x)² -2(3x)(1) +1² = 9x² -6x +1

(a³ -a² )² = (a³)² -2a³.a² +(a²)² = a⁶ -2a⁵ +a⁴

(a +3)(a+3) = (a+3)² = a² +2a(3) +3² = a² +6a +9

Answer 2

tenemos:

(1+3x⁴)²
=>(1)²+2(1)(3x)+(3x⁴)²
=>1+6x+9x⁸ 

(3x-1)²
=>(3x)²-2(3x)(1)+(1)²
=>9x²-6x+1

(a³-a²)²
=>(a³)²-2(a³)(a²)+(a²)²
=>a⁶-2a⁵+a⁴

(a+3) (a+3)
=>a(a)+a(3)+3(a)+3(3)
=>a²+3a+3a+9
=>a²+6a+9

Espero ayude