The correct expansion of expression (3x+2)[tex](3x^{2} +4)[/tex] is [tex]9x^{3} +6x^{2} +12x+8[/tex].
What is expression?
Expression is combination of numbers, symbols, coefficients, fraction, indeterminants, determinants. It is mostly not found in equal to form. It expresses a relationship between variables. It cannot tell us the actual value of variables.
How to expand expression?
The given expression is (3x+2)[tex](3x^{2} +4)[/tex] and we have to find the expansion of this expression.
Expansion is basically removing the brackets and powers of a polynomial in an expression.
(3x+2)[tex](3x^{2} +4)[/tex]=3x*[tex]3x^{2}[/tex]+3x*4+2*[tex]3x^{2}[/tex]+2*4
=9x*[tex]x^{2}[/tex]+12x+6[tex]x^{2}[/tex]+8
Adding the powers of x
=[tex]9x^{3}+6x^{2} +12x+8[/tex]
Hence the equivalent expression of (3x+2)[tex](3x^{2} +4)[/tex] is [tex]9x^{3} +6x^{2} +12x+8[/tex].
Learn more about expressions at https://brainly.com/question/723406
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