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 = (4x3−3x4)2
Step 1: (4x3)2 − (3x4)2
Step 2: 16x6− 9x8
Final answer is 16x6− 9x8
feet2
(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Part A: Explain in detail the error that was made above. Include a description of what was incorrectly done and what should have been done instead.
Response area
Part B: Choose the correct formula used to solve this problem.
Response area
Part C: Put the steps in order that are used to simplify this problem.
Response area
Response area
Response area
Part D: The units for the final answer of this problem would be:
Response area
Part A: The error made in the calculation above is incorrectly distributing the exponent in Step 1. The correct way to simplify the expression should be:
Step 1: (4x^3)^2 - (3x^4)^2
Step 2: 16x^6 - 9x^8
Part B: The correct formula used to solve this problem is the formula for finding the difference of squares, which is (a^2 - b^2) = (a + b)(a - b).
Part C: The steps in order that are used to simplify this problem are:
1. Square each term in the expression.
2. Subtract the squared terms to get the final result.
Part D: The units for the final answer of this problem would be square feet (ft^2).