Answer:
t= 22 makes the equation true
Step-by-step explanation:
\((4x^3 + 5)(2x^3 + 3) = 8x^6 + tx^3 + 15\)
First we remove the parenthesis
We apply FOIL method to multiply it
\((4x^3+5)(2x^3+3) \ becomes \ 8x^6 + 22 x^3 + 15\)
Now we compare the exponents on both sides
\(8x^6 + 22 x^3 + 15 = 8x^6 + tx^3 + 15\)
Both sides we have 22x^3 and tx^3
So we set it equal
\(22x^3 = tx^3\)
Hence, t = 22
t= 22 makes the equation true
