Round #563

Simplify the expression 3x squared times 4x cubed.

To simplify the expression 3x squared times 4x cubed, we need to multiply the coefficients (3 and 4) and add the exponents of x (2 and 3). The simplified expression is: (3 * 4) * x^(2 + 3) = 12 * x^5 = 12x^5 So, the simplified expression is 12x^5.

To simplify the expression 3x squared times 4x cubed, we can use the properties of exponents. The expression can be written as: 3x^2 * 4x^3 Using the rule that states when multiplying variables with the same base, we add the exponents: 3 * 4 = 12 x^2 * x^3 = x^(2+3) = x^5 So the simplified expression is: 12x^5 Here is a simple C# function that can be used to simplify this expression: ```csharp using System; public class ExpressionSimplifier { public static string SimplifyExpression(int coefficient1, int exponent1, int coefficient2, int exponent2) { int newCoefficient = coefficient1 * coefficient2; int newExponent = exponent1 + exponent2; return $"{newCoefficient}x^{newExponent}"; } public static void Main(string[] args) { string simplifiedExpression = SimplifyExpression(3, 2, 4, 3); Console.WriteLine(simplifiedExpression); } } ``` This function takes the coefficients and exponents of the two terms as input, multiplies the coefficients and adds the exponents, and returns the simplified expression as a string. The Main function demonstrates how to use this function to simplify the given expression.