Question

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:

Answer 1

2(b + 3c)²(b + 3c)² is equivalent to

2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

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