The question is not correctly written.
Correct question:
A rectangle has the height of 2 and a width of 5x²-2x+3. Express the area of the entire rectangle. The expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Explanation:
Formula to find the area of a rectangle is given as
Area of a rectangle = Length × Width
In the question we were given:
Length ( also known as height) = 2
Width = 5x²-2x + 3
We would use the distributive property of an algebraic equation to find the expression of the area of the rectangle.
Distributive property = (a(b+c) = ab + ac)
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
We were asked to expand the expression.
The expansion of the expression of the Area of the rectangle
= 10x² - 4x + 6 square units