Question

A rectangle has a height of 2 and a width of 5x^2-2x+3x

Express the area of the entire rectangle.
Expression should be expanded.

how would I do this?^^ if you can break down the steps for me that'd be amazing!​

Answer 1

Answer:

$area = 10x^2 - 4x + 6$

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of $5x^2 - 2x + 3$

Area of the whole rectangle can be calculated as:

$area = 2(5x^2 - 2x + 3)$

Use the distributive property of multiplication by using 2 to multiply each term in the expression, $(5x^2 - 2x + 3)$

$area =2(5x^2) +2 (-2x) + 2(3)$

$area = 10x^2 - 4x + 6$