SL 01 Binomial Theorem (Revision - GDC)

The coefficient of x² in the expansion of (5x - 1)¹² is ___.

The coefficient of a¹⁰ in the expansion of (a² + 3)⁸ is ___.

Expand (2 - 3x)⁵(5x + 4)³ and the constant term is ___.

In the expansion of (1 - 3x)ⁿ + (1 + x)ⁿ, where n is a positive integer, the coefficient of x² is 150. The value of n is ___.

If (a + 5x)(1 + 4x)ⁿ = 11 + 313x + bx² + ..., where a and b are constants and n is a positive integer. The value of n is ___.

If (a + 5x)(1 + 4x)ⁿ = 11 + 313x + bx² + ..., where a and b are constants and n is a positive integer. The value of b is ___.