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Let’s check out your problem:
Fully simplify.
\newline
2
x
2
y
(
11
x
y
4
)
2 x^{2} y\left(11 x y^{4}\right)
2
x
2
y
(
11
x
y
4
)
\newline
Answer:
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Math Problems
Precalculus
Add, subtract, multiply, and divide complex numbers
Full solution
Q.
Fully simplify.
\newline
2
x
2
y
(
11
x
y
4
)
2 x^{2} y\left(11 x y^{4}\right)
2
x
2
y
(
11
x
y
4
)
\newline
Answer:
Distribute term:
Distribute the term
2
x
2
y
2x^{2}y
2
x
2
y
across the expression inside the parentheses.
\newline
2
x
2
y
×
11
x
y
4
=
22
x
2
+
1
y
1
+
4
2x^{2}y \times 11xy^{4} = 22x^{2+1}y^{1+4}
2
x
2
y
×
11
x
y
4
=
22
x
2
+
1
y
1
+
4
Add exponents:
Add the exponents for
x
x
x
and
y
y
y
since we are multiplying terms with the same base.
\newline
22
x
3
y
5
22x^{3}y^{5}
22
x
3
y
5
No further simplification:
There are no like terms to combine and no further simplification possible. The expression is fully simplified.
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Question
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=
\newline
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a
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i
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a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
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(
35
−
23
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=
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(
35
−
23
i
)
+
(
13
+
25
i
)
=
\newline
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(
a
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b
i
)
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(
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