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Factorize fully the following:

a) [tex]x^2 + 3x[/tex]


Sagot :

Sure, let's factorize the given expression step-by-step:

Given expression: \( x^2 + 3x \)

1. Identify common factors:
- Look at each term in the expression \( x^2 \) and \( 3x \).
- Both terms contain a factor of \( x \).

2. Factor out the common factor:
- The common factor \( x \) can be factored out from each term.
- This can be done by dividing each term by \( x \) and placing \( x \) outside a set of parentheses.

Thus, the factorization is:
[tex]\[ x(x + 3) \][/tex]

So, the fully factorized form of the expression \( x^2 + 3x \) is:

[tex]\[ x(x + 3) \][/tex]