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Let’s check out your problem:
(
x
+
2
)
4
(x+2)^{4}
(
x
+
2
)
4
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Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
(
x
+
2
)
4
(x+2)^{4}
(
x
+
2
)
4
Expand using binomial theorem:
We're gonna expand
(
x
+
2
)
4
(x+2)^4
(
x
+
2
)
4
using the binomial theorem.
\newline
(
x
+
2
)
4
=
x
4
+
4
(
x
3
)
(
2
)
+
6
(
x
2
)
(
2
2
)
+
4
(
x
)
(
2
3
)
+
2
4
(x+2)^4 = x^4 + 4(x^3)(2) + 6(x^2)(2^2) + 4(x)(2^3) + 2^4
(
x
+
2
)
4
=
x
4
+
4
(
x
3
)
(
2
)
+
6
(
x
2
)
(
2
2
)
+
4
(
x
)
(
2
3
)
+
2
4
Calculate each term:
Now let's do the math for each term.
x
4
+
8
x
3
+
24
x
2
+
32
x
+
16
x^4 + 8x^3 + 24x^2 + 32x + 16
x
4
+
8
x
3
+
24
x
2
+
32
x
+
16
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\newline
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