Find the product ( x – 2 ) ( x2 + x + 1 )
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Answer:
Step-by-step explanation:
x
+
1
)
(
x
2
+
x
+
1
)
becomes:
(
x
×
x
2
)
+
(
x
×
x
)
+
(
x
×
1
)
+
(
1
×
x
2
)
+
(
1
×
x
)
+
(
1
×
1
)
x
3
+
x
2
+
x
+
x
2
+
x
+
1
We can now group and combine like terms:
x
3
+
1
x
2
+
1
x
+
1
x
2
+
1
x
+
1
x
3
+
1
x
2
+
1
x
2
+
1
x
+
1
x
+
1
x
3
+
(
1
+
1
)
x
2
+
(
1
+
1
)
x
+
1
x
3
+
2
x
2
+
2
x
+
1
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