Factor
(m + 4) (a – 5) + (m + 4) (a + 3)
Use the distributive property of multipication
(m+4) ( a - 5 + a + 3)
(m+4)(2 a - 2)
(m+4)(2)(a-1)
So then the final answer is
(m+4)(2a - 2)
To factor the expression (m + 4)(a - 5) + (m + 4)(a + 3), we can use the distributive property. The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac.
First, let's take out the common factor of (m + 4):
(m + 4)(a - 5) + (m + 4)(a + 3)
= (m + 4)[(a - 5) + (a + 3)]
Now, we can simplify the terms inside the brackets:
= (m + 4)(a - 5 + a + 3)
= (m + 4)(2a - 2)
= 2a(m + 4) - 2(m + 4)
= 2am + 8a - 2m - 8
Therefore, the factored form of the expression (m + 4)(a - 5) + (m + 4)(a + 3) is 2am + 8a - 2m - 8.