Question

Factor out the GCF in the expression below. Put your answer in the box below.
`24m^{3}+54m`

Answer 1

Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]

Explanation:

Given expression;

24m³ + 54m

Find:

The factor of GCF(Greatest common factor) of the given expression.

Computation:

24m³ + 54m

Step 1 :

Write in factor form;

[2 × 2 × 2 × 3 × m × m × m] + [2 × 3 × 3 × 3 × m]

Step 2 :

By taking [2 × 3 × m as common]

[2 × 3 × m][(2 × 2 × m × m) + (3 × 3)]

Step 3 :

[2 × 3 × m][(4m²) + (9)]

Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]