The length of the side of a rectagular desk is given by 9x-2y cm.
The length of the front is given by 9x+2ycm. What is an algebriac expression for the area of the top of the rectangular desk? Including correct units
(9x-2y)(9x+2y)
81x^2-4y^2 in cm^2
Kim, check your 2-1-11,12:08pm post.
To find the algebraic expression for the area of the top of the rectangular desk, we need to multiply the length and width of the desk. The length is given by 9x - 2y cm, and the width is given by 9x + 2y cm.
To find the area, multiply these two expressions together:
Area = (9x - 2y) * (9x + 2y)
Now, let's expand this expression using the distributive property:
Area = 9x * 9x + 9x * 2y - 2y * 9x - 2y * 2y
Simplifying further:
Area = 81x^2 + 18xy - 18xy - 4y^2
Combining like terms:
Area = 81x^2 - 4y^2
Therefore, the algebraic expression for the area of the top of the rectangular desk is 81x^2 - 4y^2 square centimeters.