Answer:To simplify the expression (4x^2 - 8)(-10x^2), we need to multiply the terms using the distributive property.
Step 1: Multiply 4x^2 by -10x^2:
(4x^2) * (-10x^2) = -40x^4
Step 2: Multiply -8 by -10x^2:
(-8) * (-10x^2) = 80x^2
Step 3: Combine the two terms:
-40x^4 + 80x^2
The resulting simplified expression is -40x^4 + 80x^2.
Note: The expression (-40x^4 + 80x^2) is a polynomial with two terms. The highest power of x is 4, which makes it a fourth-degree polynomial.
Step-by-step explanation:
