Question

A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (5x+1)(7x−8) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form

Answer 1

Answer:

$Area = 35x^2 -33x - 8$

Step-by-step explanation:

Given

$Area = (5x + 1)(7x - 8)$

Required

Express in standard form

$Area = (5x + 1)(7x - 8)$

Expand the brackets

$Area = 5x(7x - 8) + 1(7x - 8)$

Open brackets

$Area = 5x*7x - 5x*8 + 1*7x - 1*8$

$Area = 35x^2 - 40x + 7x - 8$

Simplify like terms

$Area = 35x^2 -33x - 8$