Which expressions are equivalent to 2 (b + 3 c) 2 (b+3c) 2, left parenthesis, b, plus, 3, c, right parenthesis? Choose all answers that apply:

2 (b + 3c) ² (b + 3c) ² is equivalent to

2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

Step-by-step explanation:

The expression

2 (b + 3c) ² (b + 3c) ²

Is equivalent to the expression

2 (b + 3c) ^4

This can be further expanded using the Pascals triangle as

2 (b^4 + 4b³c + 6b²c² + 4b²c³ + c^4)

= 2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4