Question

Factorize:
1) m^4-256​

Answer 1

Answer:

(m+4)(m-4)(m^2+4^2)

Step-by-step explanation:

m^4-256

=m^4-4^4

=(m^2)^2-(4^2)^2

=(m^2-4^2)(m^2+4^2)

=(m+4)(m-4)(m^2+4^2)

Answer 2

Answer:

m=±4

Step-by-step explanation:

(m²)²-(16)² = 0

(m²+16) (m²-16) = 0 {use a²-b²=(a+b) (a-b)}

(m²+16) (m²-4²) = 0

(m²+16) (m+4) (m-4) = 0 {again use a²-b² formula}

So, take each factors,

m²+16=0 | m+4=0 | m-4=0

m²= -16 | m= -4 | m=4

m = ±4 | |