Answer:
C: 2x^2+7x-4
Step-by-step explanation:
(2x-1)(x+4)
FOIL
first: 2x*x = 2x^2
outer: 2x*4 = 8x
inner: -1*x = -x
last: -1*4 = -4
Add together
2x^2 +8x-x-4
2x^2 +7x-4
Answer:
[tex]2x^2+7x-4[/tex] is the product of (2x-1)(x+4)
Step-by-step explanation:
Given : (2x-1)(x+4)
To find = [tex](2x-1)\times (x+4)=?[/tex]
Solution:
[tex](2x-1)\times (x+4)[/tex]
[tex](a+b)(c+d)=a(c+d)+b(c+d)[/tex]
a = 2x, b = (-1) , c = x , d = 4
[tex]=2x(x+4)+(-1)(x+4)[/tex]
[tex]=2x^2+8x+(-1x)+(-4)[/tex]
[tex]=2x^2+7x-4[/tex]
[tex]2x^2+7x-4[/tex] is the product of (2x-1)(x+4)
