Question

a rectangle has a height of 2 and a width of $5x^{2}-2x + 3$. express the area of the entire rectangle. expression should be expanded. area =

Explanation:

Step1: Recall area formula

$A = h\times w$ (where $A$ is area, $h$ is height, $w$ is width)

Step2: Substitute given values

$A=2\times(5x^{2}-2x + 3)$

Step3: Distribute 2

$A = 2\times5x^{2}-2\times2x+2\times3$

Step4: Simplify terms

$A = 10x^{2}-4x + 6$

Answer:

$10x^{2}-4x + 6$