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.