Step 1 :Given the expression \((a+6)(a-5)\), we need to expand it using the distributive property of multiplication over addition.
Step 2 :The distributive property of multiplication over addition can be applied in the following way: \((a+6)(a-5) = a*a + a*(-5) + 6*a + 6*(-5)\)
Step 3 :Simplifying the above expression, we get \(a^2 - 5a + 6a - 30\)
Step 4 :Combining like terms, we get \(a^2 + a - 30\)
Step 5 :\(\boxed{(a+6)(a-5)=a^2+a-30}\) is the final expanded form of the given expression.