Question

Fatoraçao pf ajudaaa A) x⁴ + 4x² + 4 B) 4a² - 4ab² + b⁴

Answer 1

Oie, Td Bom?!

A)

$= x {}^{4} + 4x {}^{2} + 4$

$= x {}^{2 \: . \: 2} + 2 \: . \: x {}^{2} \: . \: 2 + 2 {}^{2}$

$= (x {}^{2} ) {}^{2} + 2 \: . \: x {}^{2} \: . \: 2 + 2 {}^{2}$

$= (x {}^{2} + 2) {}^{2}$

B)

$= 4a {}^{2} - 4ab {}^{2} + b {}^{4}$

$= 2 {}^{2} a {}^{2} - 2 \: . \: 2a \: . \: b {}^{2} + b {}^{2 \: . \: 2}$

$= (2a) {}^{2} - 2 \: . \: 2a \: . \: b {}^{2} + (b {}^{2} ) {}^{2}$

$= (2a - b {}^{2} ) {}^{2}$

Att. Makaveli1996

Answer 2

Explicação passo-a-passo:

a)

x⁴ + 4x² + 4

= x⁴ + 2x² + 2x² + 4

= x².(x² + 2) + 2.(x² + 2)

= (x² + 2).(x² + 2)

= (x² + 2)²

b)

4a² - 4ab² + b⁴

= 4a² - 2ab² - 2ab² + b⁴

= 2a.(2a - b²) - b².(2a - b²)

= (2a - b²).(2a - b²)

= (2a - b²)²