Part A:
The error in the solution provided above is in Step 1. When expanding the equation (2x^2-3x^3)^2, the correct way to do so is by using the formula (a-b)^2 = a^2 - 2ab + b^2. Therefore, the correct expansion should be (2x^2)^2 - 2(2x^2)(3x^3) + (3x^3)^2, which would result in the correct answer.
Part B:
The correct formula to solve the problem is (a-b)^2 = a^2 - 2ab + b^2.
Part C:
1. Expand the equation (2x^2-3x^3)^2 using the formula (a-b)^2 = a^2 - 2ab + b^2
2. (2x^2)^2 - 2(2x^2)(3x^3) + (3x^3)^2
3. Simplify the equation to get the final answer 4x^4 - 12x^5 + 9x^6 feet^2
Part D:
The units for the final answer would be feet^2, as it represents the area of the flower bed in square feet.
Mr. Moore had to find the area of a flower bed in his yard so he knew how much mulch to purchase. Below is a picture of his yard and the work he did to find the area.
Area = (2x^2-3x^3)^2
Step1: (2x^2)^2 - (3x^3)^2
Step 2: 4x^4-9x^6
Final answer is 4x^4-9x^6 feet^2
Part A: Explain in detail the error that was made above
Part B: Choose the correct formula to solve the problem
Part C: Put the steps in order to solve the problem correctly.
Part D: The units fpr the final answer would be:
1 answer