Rewrite the Binomial of the Form $( a - b ) ^ { n }$

question 45

Multiple Choice

Rewrite the binomial of the form $( a - b ) ^ { n }$ as $[ a + ( - b ) ] ^ { n }$ . Then expand the binomial. Use Pascal's triangle to find the coefficients.
$$\left( p ^ { 2 } - w \right) ^ { 3 }$$

• A) \(\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; p ^ { 6 } - 3 p ^ { 4 } w + 3 p ^ { 2 } w ^ { 2 } - w ^ { 3 }\)
• B) \(\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; - p ^ { 6 } + w ^ { 3 }\)
• C) \(\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; p ^ { 6 } - w ^ { 3 }\)
• D) \(\left[ p ^ { 2 } + ( - w ) \right] ^ { 3 } ; - p ^ { 6 } + 3 p ^ { 4 } w - 3 p ^ { 2 } w ^ { 2 } + w ^ { 3 }\)