(4x^6-7)(x^8-4) = 4x^14-7x^8-16x^6+28
Check my answer please.
correct
Thank you
To check your answer, you need to simplify the expression on the left side of the equation and compare it to the expression on the right side. Let's simplify:
First, distribute the terms using the distributive property:
(4x^6 - 7)(x^8 - 4) = 4x^6(x^8 - 4) - 7(x^8 - 4)
Next, simplify each term:
= 4x^6 * x^8 - 4x^6 * 4 - 7x^8 + 7 * 4
Now, simplify further by multiplying the exponents:
= 4x^14 - 16x^6 - 7x^8 + 28
Comparing this simplified expression to the one you provided (4x^14 - 7x^8 - 16x^6 + 28), we can observe that both expressions match term by term. Therefore, your answer is correct: (4x^6 - 7)(x^8 - 4) simplifies to 4x^14 - 7x^8 - 16x^6 + 28.