Question

factorise the following expression 54m^3n + 81m^4n^2
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Answer 1

Step-by-step explanation:

Given expression is 54m³n+81m⁴n²

=>(2×3×3×3×m³×n)+(3×3×3×3×3×m³×m×n×n)

=>3×3×3×m³n(2+3m×n)

=>27m³n(2+3mn)

Answer 2

Given,

54m³n + 81m^4n²

To find,

The factors of the given expression.

Solution,

The factors of the expression 54m³n + 81m^4n² will be 27m³n (2+3mn).

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

We know that there are several methods to find the factors of the expression. For example, the factors can be found by splitting the middle term, using the identities or by taking common factors.

Now, we have

54m³n + 81m^4n²

Taking 27m³n from both the terms,

27m³n (2+3mn)

Hence, the factors of the expression 54m³n + 81m^4n² are 27m³n (2+3mn).