subtract a) 3x +4x^2 -7 from x^4+3x^2-4x+4
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Answered by
1
Answer:
By the distributive property we know that
a
(
b
+
c
)
=
a
b
+
a
c
,
therefore:
−
2
x
(
x
2
+
4
x
2
)
=
−
2
x
⋅
x
−
2
x
⋅
4
x
2
.
Continuing:
−
2
x
⋅
x
−
2
x
⋅
4
x
2
=
−
2
x
2
−
8
x
2
2
=
−
2
x
2
−
4
x
2
.
Combining like terms:
−
2
x
2
−
4
x
2
=
−
6
x
2
.
We can now subtract the two terms:
(
4
x
2
+
3
x
−
1
)
−
2
x
(
x
2
+
4
x
2
)
=
(
4
x
2
+
3
x
−
1
)
−
(
6
x
2
)
,
and we obtain:
−
2
x
2
+
3
x
−
1
.
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2
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