Answer:
Paul might have written the expression
.
Step-by-step explanation:
Given:
Length of the leg 1 = a
Length of the leg 2 = b
Hypotenuse = h
We need the expression Paul has written:
Solution:
Now we know that;
The figure sketched by Paul is a right angle triangle.
Now by Pythagoras Theorem which states that;
"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."
equation can be framed as;

Hence Paul might have written the expression
.
Answer:
Explanation:
We have:
(
2
x
+
3
)
(
4
x
2
−
5
x
+
6
)
Now let's distribute this piece by piece:
(
2
x
)
(
4
x
2
)
=
8
x
3
(
2
x
)
(
−
5
x
)
=
−
10
x
2
(
2
x
)
(
6
)
=
12
x
(
3
)
(
4
x
2
)
=
12
x
2
(
3
)
(
−
5
x
)
=
−
15
x
(
3
)
(
6
)
=
18
And now we add them all up (I'm going to group terms in the adding):
8
x
3
−
10
x
2
+
12
x
2
+
12
x
−
15
x
+
18
And now simplify:
8
x
3
+
2
x
2
−
3
x
+
18Step-by-step explanation:
Need to see more info jk idk what grade u are after that i will know how to help
Your proof is correct and very well done
the answer is 120 bc 140 is adjacent to it and 140-20 = 120