Answer:
[tex]32x^3+4x^2+41x-35[/tex]
Step-by-step explanation:
Given expression is,
[tex](4x^2+3x+7)(8x-5)[/tex]
Using the distributive property,
[tex](4x^2+3x+7)(8x)-(4x^2+3x+7)(5)[/tex]
Again by distributive property,
[tex]4x^2(8x)+3x(8x)+7(8x)-4x^2(5)-3x(5)-7(5)[/tex]
[tex]32x^3+24x^2+56x-20x^2-15x-35[/tex]
Combine like terms,
[tex]32x^3+4x^2+41x-35[/tex]
