Simplify x² + 3½x²: Combining Like Terms with Mixed Numbers

Question

(+x2)+(+312x2)= (+x^2)+(+3\frac{1}{2}x^2)=

Video Solution

Solution Steps

00:00 Simply
00:03 Find the point (X squared) on the axis
00:08 Add the expression on the right (positive) side of the axis
00:17 Every number's coefficient is 1
00:23 Collect like terms
00:27 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will add the coefficients of the like terms:

  • Step 1: Identify the given expressions: (+x2) (+x^2) and (+312x2) (+3\frac{1}{2}x^2) .
  • Step 2: Add the coefficients of the terms. The coefficients are 1 1 for x2 x^2 and 3.5 3.5 for 312x2 3\frac{1}{2}x^2 .
  • Step 3: Add these coefficients: 1+3.5=4.5 1 + 3.5 = 4.5 .
  • Step 4: Multiply the sum of the coefficients by x2 x^2 .

By following these steps, we obtain the expression 4.5x2 4.5x^2 . Thus, the solution is 412x2 4\frac{1}{2}x^2 .

Answer

412x2 4\frac{1}{2}x^2