Answer:
a10 b10
Step-by-step explanation:
5•3•x•x•x-5•x•x•y+5•x•y=
5x(3x^2-xy+y)
Hope this explanation helps
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
For 
, on the left we have 
, and on the right,
(where we use the double angle identity: 
)
Suppose the relation holds for 
:
Then for 
, the left side is
So we want to show that
On the left side, we can combine the fractions:
Recall that
so that we can write
(another double angle identity: 
)
Then recall that
which lets us consolidate the numerator to get what we wanted:
and the identity is established.
Answer: 9 dollars.
Step-by-step explanation: Just do 4.5/50 x 100 also could I get brainest?
