Expanding and Simplifying the Expression 4(a+5)(a-3)
In this article, we will explore the process of expanding and simplifying the algebraic expression 4(a+5)(a-3).
Step 1: Expand the Expression
To expand the expression, we need to follow the order of operations (PEMDAS) and multiply the two binomials.
4(a+5)(a-3) = 4(a^2 - 3a + 5a - 15)
= 4(a^2 + 2a - 15)
Step 2: Simplify the Expression
Now, we can simplify the expression by combining like terms.
4(a^2 + 2a - 15) = 4a^2 + 8a - 60
Therefore, the simplified expression is 4a^2 + 8a - 60.
Conclusion
In this article, we have successfully expanded and simplified the expression 4(a+5)(a-3) to obtain the final result of 4a^2 + 8a - 60. This process involved following the order of operations and combining like terms to simplify the expression.
