Binomial Theorem

x² - 14x + 49

-x² - 14x - 49

x² + 14x - 49

49x²

1;3;3;1

1;4;6;4;1

1;5;10;10;5;1

1;6;15;20;15;6;1

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

x⁵ + 1

d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

d⁴ - 20d³ + 150d² - 750d + 3125

d⁴ + 20d³ + 150d² + 750d + 3125

257

256

n⁴

259

253y

256y

64y

96y²

The value of n is 2, and the first and last terms are perfect squares

The middle terms do not take into account the coefficients from Pascal's triangle

The exponents on each term follow the pattern for a binomial expansion

The expression can be factored using the binomial theorem

The expression cannot be factored using the binomial theorem