Question

factorise m4--256........................

Answer 1

Answer:

Step-by-step explanation:

4m=256

m=64

Answer 2

The factories form is $m^4-256=(m^2+16)(m+4)(m-4)$

Step-by-step explanation:

Given : Expression $m^4-256$.

To find : Factories the expression ?

Solution :

To factories the expression we can re-write as,

$m^4-256=(m^2)^2-(16)^2$

Using algebraic identity, $a^2-b^2=(a+b)(a-b)$

$m^4-256=(m^2+16)(m^2-16)$

Again re-write as,

$m^4-256=(m^2+16)(m^2-4^2)$

Again apply same identity,

$m^4-256=(m^2+16)(m+4)(m-4)$

Therefore, the factories form is $m^4-256=(m^2+16)(m+4)(m-4)$.

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