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Let’s check out your problem:
Which expression is equivalent to
5
d
+
9
d
5d + 9d
5
d
+
9
d
?
\newline
Choices:
\newline
(A)
d
+
14
d + 14
d
+
14
\newline
(B)
d
14
d^{14}
d
14
\newline
(C)
15
d
15d
15
d
\newline
(D)
14
d
14d
14
d
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Math Problems
Algebra 2
Simplify rational expressions
Full solution
Q.
Which expression is equivalent to
5
d
+
9
d
5d + 9d
5
d
+
9
d
?
\newline
Choices:
\newline
(A)
d
+
14
d + 14
d
+
14
\newline
(B)
d
14
d^{14}
d
14
\newline
(C)
15
d
15d
15
d
\newline
(D)
14
d
14d
14
d
Combine like terms:
Combine like terms by adding the coefficients of
d
d
d
.
\newline
5
d
+
9
d
=
(
5
+
9
)
d
5d + 9d = (5 + 9)d
5
d
+
9
d
=
(
5
+
9
)
d
Perform addition:
Perform the addition of the coefficients.
\newline
(
5
+
9
)
d
=
14
d
(5 + 9)d = 14d
(
5
+
9
)
d
=
14
d
Compare with choices:
Compare the result with the given choices.
\newline
The expression
14
d
14d
14
d
matches choice (D).
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\newline
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