Algebra-2

In the given expression (m-3)⁵ we need to expand it using the Binomial Theorem. The binomial coefficients for the expansion are determined by the fifth row of Pascal's Triangle: 1, 5, 10, 10, 5, 1. These coefficients represent the number of ways each term can be obtained by combining the powers of m and 3.

To expand the expression, we raise m to powers decreasing from 5 down to 0, while the powers of 3 increase from 0 up to 5. The coefficients are multiplied by the corresponding powers of y and 4 and summed together to obtain the expanded form. (The binomial coefficients and the powers of m will alternate in sign according to the exponent of m. Specifically, the terms with odd p...