Multiply Polynomials

1. The problem is to multiply $3x^2$ by $2x^2$. 2. Multiply the coefficients: $3 \times 2 = 6$. 3. Multiply the variables with exponents: $x^2 \times x^2 = x^{2+2} = x^4$. 4. Combine the results: $6x^4$. Final answer: $6x^4$.