Answer:
Option 3
Step-by-step explanation:
We need to find a pair which shows equivalent expressions.
First equation is
Option 1 is incorrect.
Second equation is
Option 2 is incorrect.
Third equation is
Option 3 is correct.
Fourth equation is
Option 4 is incorrect.
Therefore, the correct option is 3.
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
Thus,
The area of the outer rectangle:
<u>Calculating the area of the inner rectangle:</u>
Given
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
