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Let’s check out your problem:
Combine like terms.
\newline
−
5
+
3
+
2
y
2
−
5
x
2
−
y
2
+
3
x
2
+
3
x
2
-5+3+2 y^{2}-5 x^{2}-y^{2}+3 x^{2}+3 x^{2}
−
5
+
3
+
2
y
2
−
5
x
2
−
y
2
+
3
x
2
+
3
x
2
\newline
Answer:
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
Combine like terms.
\newline
−
5
+
3
+
2
y
2
−
5
x
2
−
y
2
+
3
x
2
+
3
x
2
-5+3+2 y^{2}-5 x^{2}-y^{2}+3 x^{2}+3 x^{2}
−
5
+
3
+
2
y
2
−
5
x
2
−
y
2
+
3
x
2
+
3
x
2
\newline
Answer:
Combine Constants:
Combine the constant terms:
−
5
-5
−
5
and
+
3
+3
+
3
.
\newline
Calculation:
−
5
+
3
=
−
2
-5 + 3 = -2
−
5
+
3
=
−
2
Combine
y
2
y^2
y
2
Terms:
Combine the terms with
y
2
y^2
y
2
:
2
y
2
2y^2
2
y
2
and
−
y
2
-y^2
−
y
2
.
\newline
Calculation:
2
y
2
−
y
2
=
y
2
2y^2 - y^2 = y^2
2
y
2
−
y
2
=
y
2
Combine
x
2
x^2
x
2
Terms:
Combine the terms with
x
2
x^2
x
2
:
−
5
x
2
-5x^2
−
5
x
2
,
+
3
x
2
+3x^2
+
3
x
2
, and
+
3
x
2
+3x^2
+
3
x
2
.
\newline
Calculation:
−
5
x
2
+
3
x
2
+
3
x
2
=
1
x
2
-5x^2 + 3x^2 + 3x^2 = 1x^2
−
5
x
2
+
3
x
2
+
3
x
2
=
1
x
2
Write Final Expression:
Write down the combined terms to get the final simplified expression.
\newline
Calculation:
−
2
+
y
2
+
x
2
-2 + y^2 + x^2
−
2
+
y
2
+
x
2
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