Answer:
4(a + 6)
3(x - 4)
Explanation:
Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .
If you look at your
4a + 24
You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)
So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.
4 (____ + ____)
4(a + 6)
This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.
4a + 24
= 4(a + 6)
It's like factoring is "un-distributive" property.
Theres a 3 in 3x and also in 12
3x - 12
= 3(x - 4)