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Simplify: (3x^2 - 4xy + 7y^2) - (7x^2 - 6xy - 3y^2) A. -4x^2 - 10xy - 10y^2 B. -4x^2 - 2xy + 10y^2 C. -4x^2 - 10xy + 10y^2 D. -4x^2 + 2xy + 10y^2
asked
Mar 18, 2018
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Simplify: (3x^2 - 4xy + 7y^2) - (7x^2 - 6xy - 3y^2)
A. -4x^2 - 10xy - 10y^2
B. -4x^2 - 2xy + 10y^2
C. -4x^2 - 10xy + 10y^2
D. -4x^2 + 2xy + 10y^2
Mathematics
high-school
AHunter
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AHunter
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1
Answer
5
votes
Distribute the Negative Sign:
=
3
x2
−
4x
y
+
7
y2
+
−1
(
7
x2
−
6x
y
−
3
y2
)
=
3
x2
+
−
4x
y
+
7
y2
+
−1
(
7
x2
)
+
−1
(
−
6x
y
)
+
−1
(
−
3
y2
)
=
3
x2
+
−
4x
y
+
7
y2
+
−
7
x2
+
6x
y
+
3
y2
Combine Like Terms:
=
3
x2
+
−
4x
y
+
7
y2
+
−
7
x2
+
6x
y
+
3
y2
=
(
3
x2
+
−
7
x2
)
+
(
−
4x
y
+
6x
y
)
+
(
7
y2
+
3
y2
)
=
−
4
x2
+
2x
y
+
10
y2
Answer:
=
−
4
x2
+
2x
y
+
10
y
2
Jsleshem
answered
Mar 22, 2018
by
Jsleshem
8.2k
points
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