(m-1)(m+1)-(m-3)^2

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Jul 03, 2024

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Expansion of Algebraic Expression: (m-1)(m+1)-(m-3)^2

In algebra, expanding expressions is a crucial skill to master. In this article, we will explore the expansion of the expression (m-1)(m+1)-(m-3)^2.

Expansion of (m-1)(m+1)

To expand the expression (m-1)(m+1), we need to follow the order of operations (PEMDAS) and multiply the two binomials.

(m-1)(m+1) = m^2 + m - m - 1

= m^2 - 1

Now, let's move on to the second part of the expression.

Expansion of (m-3)^2

To expand the expression (m-3)^2, we need to square the binomial.

(m-3)^2 = (m-3)(m-3)

= m^2 - 6m + 9

Now that we have expanded both expressions, let's combine them to find the final answer.

(m-1)(m+1)-(m-3)^2 = m^2 - 1 - (m^2 - 6m + 9)

Combine like terms:

= -6m + 8

Therefore, the expansion of the expression (m-1)(m+1)-(m-3)^2 is -6m + 8.