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!​

A rectangle has a height of 2 and a width of 5x22x3x Express the area of the entire rectangleExpression should be expandedhow would I do this if you can break d class=

Respuesta :

Answer:

[tex] area = 10x^2 - 4x + 6 [/tex]

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]

Area of the whole rectangle can be calculated as:

[tex] area = 2(5x^2 - 2x + 3) [/tex]

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

[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]

[tex] area = 10x^2 - 4x + 6 [/tex]