Question

Find the difference.
(4x2 - 6x+8) - (3x2 - 6x + 2)

Answer 1

Let's simplify step-by-step.
4
x
2
−
6
x
+
8
−
(
3
x
2
−
6
x
+
2
)
Distribute the Negative Sign:
=
4
x
2
−
6
x
+
8
+
−
1
(
3
x
2
−
6
x
+
2
)
=
4
x
2
+
−
6
x
+
8
+
−
1
(
3
x
2
)
+
−
1
(
−
6
x
)
+
(
−
1
)
(
2
)
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
Combine Like Terms:
=
4
x
2
+
−
6
x
+
8
+
−
3
x
2
+
6
x
+
−
2
=
(
4
x
2
+
−
3
x
2
)
+
(
−
6
x
+
6
x
)
+
(
8
+
−
2
)
=
x
2
+
6

Answer 2

x² + 6

Explanation:

(4x² -6x + 8 )- ( 3x² -6x +2 )

4x² -6x +8 - 3x² + 6x -2

now group like terms

4x² -3x² -6x +6x +8-2

⇒ x² +6