Question

Factorize: (a + b)4 - c 4 .​

Answer 1

Answer:

(a²+2ab+b²+c²)(a+b+c)(a+b-c)

Step-by-step explanation:

$(a+b)^{4} -c^{4}$

Factorize by difference of two perfect squares:

$((a+b)^{2} +c^{2} )((a+b)^{2} -c^{2} )$

Factorize the second term by difference of two perfect squares:

$((a+b)^{2} +c^{2} )((a+b)+c)((a+b)-c)$

(a²+2ab+b²+c²)(a+b+c)(a+b-c)

Answer 2

Answer:

here you goo this is the answer

Step-by-step explanation:

(a²+2ab+b²+c²)(a+b+c)(a+b-c)

Step-by-step explanation:

(a+b)^{4} -c^{4}(a+b)

4

−c

4

Factorize by difference of two perfect squares:

((a+b)^{2} +c^{2} )((a+b)^{2} -c^{2} )((a+b)

2

+c

2

)((a+b)

2

−c

2

)

Factorize the second term by difference of two perfect squares:

((a+b)^{2} +c^{2} )((a+b)+c)((a+b)-c)((a+b)

2

+c

2

)((a+b)+c)((a+b)−c)