Here, we are required to factorise fully 9x² + 3x³
To factorise the expression 9x² + 3x² fully; we first need to write out factors of 9x² and 3x³ respectively. Thus;
- Factors of 9x² are: 3 × 3 × x²
- Factors of 3x³ are: 3 × x² × x
Since 3x² is a common factor for 9x² and 3x³,
3x² can be factored out so that we have the result of the factorization to be;
3x²(3+x)
as "3" and "x" are the remaining factors of 9x² and 3x³ respectively.
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