What value of t makes the statement true? (4x3 + 5)(2x3 + 3) = 8x6 + tx3 + 15

Question

asked Sep 4, 2018 219k views

2 Answers

Jeutnarg · Answer 1 · 2018-09-10T15:23:59+0000

Answer:

t= 22 makes the equation true

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