Question

The farmer's paddock has a length of 2x and a width of x−5 km. Expand the expression for the land.

a) 2x^2 −10x
b) 2x^2 +5x
c) x^2−5x
d) x^2+5x

Answer 1

To expand the expression for the land, multiply the length and width of the paddock (2x)(x-5) km². Use the distributive property to expand the expression: 2x² - 10x km².

Step-by-step explanation:

To expand the expression for the land, we need to multiply the length and width of the paddock. The length is 2x and the width is x-5 km.

So, the expression for the land area is (2x)(x-5) km².

To expand this expression, we can use the distributive property. First, multiply 2x with x: 2x * x = 2x². Then, multiply 2x with -5: 2x * -5 = -10x.

So, the expanded expression for the land area is 2x² - 10x km².