Write and simplify an expression to represent the area of each figure.
My answer:
2x +(x+3)(x-2) = x^2-x-6
Textbook Answer: x^2-x-2
Please help.
Thanks.
I'M AN IDIOT!!!!!
2x + (x+3)(x-2) = 2x + x^2 + x -6 = x^2 + 3x - 6
From your data, I don't agree with either you or the book.
Among us
To find the area of each figure, we need to determine the expressions that represent their respective areas.
The figure described in your question is not clear, so let's assume it's a rectangle with dimensions 2x and (x+3)(x-2).
The area of a rectangle is given by the formula: area = length × width.
Therefore, the area expression for this rectangle would be: area = 2x × (x+3)(x-2).
To simplify this expression, we can use the distributive property to expand the expression and then combine like terms if possible.
Multiplying 2x by (x+3)(x-2) gives us: (2x × x) + (2x × -2) + (2x × 3) + (x+3)(x-2)
Which simplifies to: 2x^2 - 4x + 6x - 12
Combining like terms gives us: 2x^2 + 2x - 12
Therefore, the simplified expression for the area of the rectangle is 2x^2 + 2x - 12.
However, you mentioned a textbook answer of x^2 - x - 2, which suggests that there might have been an error in either the original figure description or calculations.
Please double-check the figure description and calculations to ensure you have accurately represented the problem for the correct final answer.