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distribute $3\left(2x + 2x^{2}\
ight)$.
Step1: Apply distributive property
The distributive property states that \( a(b + c)=ab+ac \). Here, \( a = 3 \), \( b=2x \), and \( c = 2x^{2} \). So we multiply 3 with each term inside the parentheses:
\( 3\times(2x)+3\times(2x^{2}) \)
Step2: Perform the multiplications
Calculate \( 3\times(2x)=6x \) and \( 3\times(2x^{2}) = 6x^{2} \). Then combine the results.
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\( 6x + 6x^{2} \)