Answer:
3x·x + 3x·(-5) + 4·x + 4·(-5)
Step-by-step explanation:
Distributive Property
In multiplication, Distributive Property means distribute a factor into other factors, for example:
[tex]\boxed{a(b+c)=ab+ac}[/tex] (distribute factor a into factor (b + c))
For (3x + 4)(x - 5), we distribute factor (3x + 4) into factor (x - 5), then it will become:
(3x + 4)(x - 5) = [x(3x + 4)] - [5(3x + 4)]
= (3x·x + 4·x) - (5·3x + 5·4)
= 3x·x + 4·x + (-5)·3x + (-5)·4
= 3x·x + 3x·(-5) + 4·x + 4·(-5)
*Tips: You can either distribute the 1st factor into 2nd factor or the other way round → substitute the 2nd factor into the 1st factor. Both will have same result.
