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
The number of ounces of cereal in the third box is 32.
<u>Explanation:</u>
Given-
10 oy box = $3
Price of 1 ounce box = $3/10
= $0.3
20 oy box = $5
Price of 1 oy box = $5/20
= $0.25
Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.
Third box of cereal = $8
$5 is the price of 20 oy box
$8 will be the price of x oy box
So,

Therefore, the number of ounces of cereal in the third box is 32.
The answer i would pick is 2