Fill in the boxes with the correct answers. simplify the polynomial expression. (-4x^2+17x+9)–(-13x^2+5x+16

What do you want to calculate?

CALCULATE IT!
Simplify
Evaluate
Lesson

Let's simplify step-by-step.
−
4
x
2
+
17
x
+
9
−
(
−
13
x
2
+
5
x
+
16
)
Distribute the Negative Sign:
=
−
4
x
2
+
17
x
+
9
+
−
1
(
−
13
x
2
+
5
x
+
16
)
=
−
4
x
2
+
17
x
+
9
+
−
1
(
−
13
x
2
)
+
−
1
(
5
x
)
+
(
−
1
)
(
16
)
=
−
4
x
2
+
17
x
+
9
+
13
x
2
+
−
5
x
+
−
16
Combine Like Terms:
=
−
4
x
2
+
17
x
+
9
+
13
x
2
+
−
5
x
+
−
16
=
(
−
4
x
2
+
13
x
2
)
+
(
17
x
+
−
5
x
)
+
(
9
+
−
16
)
=
9
x
2
+
12
x
+
−
7

=
9
x
2
+
12
x
−
7

The answer is 9x^2+12x-7