Answer:
[tex] (2x+1) (x+4) = 2x^2 + 9x +8[/tex]
And then that's our final solution for this case.
Step-by-step explanation:
One way to solve this problem is using the following property:
[tex] (a+b) (c+d) = ac + ad + bc+bd[/tex]
On this case we know that if we compare this formula with our expression (2x+1) (x+4) we have this:
a= 2x, b =1 , c= x , d = 4
We can find the individual products like this:
[tex] ac= 2x* x = 2x^2[/tex]
[tex] ad= 2x*4 = 8x[/tex]
[tex] bc= 1*x = x[/tex]
[tex] bd = 1*4 = 8[/tex]
Then if we replace the values we got:
[tex] (2x+1) (x+4) = 2x^2 + 8x +x+8[/tex]
And we can add the two common factors 8x and x like this:
[tex] (2x+1) (x+4) = 2x^2 + 9x +8[/tex]
And then that's our final solution for this case.
