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Let’s check out your problem:
Combine like terms.
\newline
−
5
y
2
+
x
2
−
3
x
2
+
6
x
2
−
5
y
2
+
4
x
3
+
3
x
3
-5 y^{2}+x^{2}-3 x^{2}+6 x^{2}-5 y^{2}+4 x^{3}+3 x^{3}
−
5
y
2
+
x
2
−
3
x
2
+
6
x
2
−
5
y
2
+
4
x
3
+
3
x
3
\newline
Answer:
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
Combine like terms.
\newline
−
5
y
2
+
x
2
−
3
x
2
+
6
x
2
−
5
y
2
+
4
x
3
+
3
x
3
-5 y^{2}+x^{2}-3 x^{2}+6 x^{2}-5 y^{2}+4 x^{3}+3 x^{3}
−
5
y
2
+
x
2
−
3
x
2
+
6
x
2
−
5
y
2
+
4
x
3
+
3
x
3
\newline
Answer:
Combine
x
2
x^2
x
2
terms:
Combine the terms with the same variable and exponent. Start with the
x
2
x^2
x
2
terms:
−
3
x
2
+
6
x
2
-3x^2 + 6x^2
−
3
x
2
+
6
x
2
.
\newline
Calculation:
−
3
x
2
+
6
x
2
=
3
x
2
-3x^2 + 6x^2 = 3x^2
−
3
x
2
+
6
x
2
=
3
x
2
.
Combine
x
3
x^3
x
3
terms:
Combine the
x
3
x^3
x
3
terms:
4
x
3
+
3
x
3
4x^3 + 3x^3
4
x
3
+
3
x
3
.
\newline
Calculation:
4
x
3
+
3
x
3
=
7
x
3
4x^3 + 3x^3 = 7x^3
4
x
3
+
3
x
3
=
7
x
3
.
Combine
y
2
y^2
y
2
terms:
Combine the
y
2
y^2
y
2
terms:
−
5
y
2
−
5
y
2
-5y^2 - 5y^2
−
5
y
2
−
5
y
2
.
\newline
Calculation:
−
5
y
2
−
5
y
2
=
−
10
y
2
-5y^2 - 5y^2 = -10y^2
−
5
y
2
−
5
y
2
=
−
10
y
2
.
Write final expression:
Now, write down the combined terms together to get the final simplified expression.
\newline
Calculation:
3
x
2
+
7
x
3
−
10
y
2
3x^2 + 7x^3 - 10y^2
3
x
2
+
7
x
3
−
10
y
2
.
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