Question

desarrolla el binomio ( 2x - x^2 ) ^4

Answer 1

(a + b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴

( 2x - x² )⁴←Resolver el binomio
=(2x)⁴- 4(2x)³(x²)+6(2x)²(x²)²- 4(2x)(x²)³+(x²)⁴
=16x⁴- 32x⁵ + 24x⁶ - 8x⁷ +x⁸←Factorizar
=x⁴(16 - 32x + 24x² - 8x³ + x⁴)

Espero que sirva!Saludos!