Question

factorise 54m3n+81m4n2​

Answer 1

Given,

54m³n + 81m⁴n².

To find,

The factors of 54m³n + 81m⁴n².

Solution,

The factor of 54m³n + 81m⁴n² will be 27m³n (2+3mn).

We can easily solve this problem by following the given steps.

Now, to factorise the given expression, first, we need to take common from the two terms because we can not solve it by splitting the middle term or by using any identity.

54m³n + 81m⁴n²

Taking 27m³n common,

27m³n (2 + 3mn)

Now, we can not solve it further.

Hence, the factor of 54m³n + 81m⁴n² is 27m³n (2+3mn).

(Note that the word 'common' means to divide the other terms in the expression by that 'common'.)