Question

Simplify. −4x^2(5x^4−3x^2+x−2)

Answer 1

Answer: -20x^6 + 12x^4 - 4x^3 + 8x^2

Step-by-step explanation: Combine like terms

Hope this helps! :) ~Zane

Answer 2

`-20x^6+12x^4-4x^3+8x^2`

Explanation:

Use exponent rules:

`x^a \cdot x^b = x^(a+b)`

Simplify the expression:
`-4x^2(5x^4-3x^2+x-2)`

Using distributive property:

`-4x^2 \cdot 5x^4 + 4x^2 \cdot 3x^2 -4x^2 \cdot x + 4x^2 \cdot 2`

Apply the exponent rules:

`-20x^6+12x^4-4x^3+8x^2`

Therefore, the simplified expression for the given expression is
`-20x^6+12x^4-4x^3+8x^2`