Respuesta :
Answer: [tex]4x^2+17x-15[/tex]
Step-by-step explanation:
To simplify the given expression we need to apply the distributive property in algebra.
The distributive property is given by :
[tex]a(b+c)=ab+ac[/tex]
The given expression:
[tex](4x- 3)(x + 5)\\\\=(4x-3)x+(4x-3)5\ \ \ \ \text{By distributive property}\\\\=4x^2-3x+20x-15\\\\=4x^2+(-3+20)x-15\ \ \ \text{Combining like terms}\\\\=4x^2+17x-15[/tex]