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KonstantinChe [14]
3 years ago
15

Expand using pascal triangle (3x+2)^4

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

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This should help

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The minor arc measures of circle Z are shown in the figure.
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The completed statement are:

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Part B:

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