<h2>
Explanation:</h2><h2>
</h2>
In this case we have the following expression:
We know that Karen was trying to factor out this and she found that the greatest common factor of these terms was 2, in other words we can write this expression as:
An area model for this expression could be the area of a rectangle that has the following dimensions:
So the area model can be written as:
I think this is what you are looking for:
=−12
a
b
=
−
12
+=4
a
+
b
=
4
(+)2=42
(
a
+
b
)
2
=
4
2
2+2+2=16
a
2
+
b
2
+
2
a
b
=
16
∴2+2=16+2×12=40
∴
a
2
+
b
2
=
16
+
2
×
12
=
40
Now, (−)2=2+2−2=40+2×12=64
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
=
40
+
2
×
12
=
64
∴(−)=64‾‾‾√=±8
∴
(
a
−
b
)
=
64
=
±
8
So, 2−2=(+)(−)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
2−2=(4)(±8)=±32
a
2
−
b
2
=
(
4
)
(
±
8
)
=
±
32
Hope that helps and sorry if it is confusing!
Answer:
25%
Step-by-step explanation:
Given parameters:
Amount earned by Jessica per month = 800
Total savings target per year = 2400
Unknown:
Percentage of savings = ?
Solution:
The total earning per year will be the amount earned per month multiplied by the total number months;
Amount earned in a year = 12 x 800 = 9600
Let the percentage of savings per year = y%
Now;
2400 = 
x 9600
y = 25%
Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
