Answer:
[tex]32x^3+4x^2+41x-35[/tex]
Step-by-step explanation:
We have these two polynomials
[tex](8x-5)(4x^2+3x+7)[/tex]
Now we need to distribute one polynomial to all of the terms to the other.
[tex]32x^3+24x^2+56x-20x^2-15x-35[/tex]
Next we can combine all of the like terms
[tex]32x^3+24x^2+56x-20x^2-15x-35\\\\32x^3+4x^2+41x-35[/tex]