Question

Simplify -5x^4(-3x^2+4x-2)​

Answer 1

15x⁶-20x⁵+10x⁴ is the simplification of this expression.

Explanation:

We have given the expression:

-5x⁴(-3x²+4x-2)​

We have to simplify this expression.

-5x⁴(-3x²+4x-2)​

-5x⁴(-3x²)+(-5x⁴)(4x)+(-5x⁴)(-2)

15x⁴⁺²-20x⁴⁺¹+10x⁴

15x⁶-20x⁵+10x⁴

15x⁶-20x⁵+10x⁴ is the answer.

Answer 2

The correct answer is 15x⁶ - 20x⁵ + 10x⁴

Explanation:

The given expression is -5x⁴ (-3x² + 4x - 2)​

Points to remember:

xᵃ * x ᵇ = xᵃ⁺ᵇ

To find the simplified expression

-5x⁴ (-3x² + 4x - 2)​ = (-5x⁴ * -3x²) + (-5x⁴ * 4x ) - (-5x⁴ * 2)​

= 15x⁴ ⁺² - 20x⁴ ⁺ ¹ + 10x⁴

= 15x⁶ - 20x⁵ + 10x⁴

Therefore -5x⁴ (-3x² + 4x - 2)​ = 15x⁶ - 20x⁵ + 10x⁴