Math hw help please!????????

Question

Multiply X^2+4x-6 by 2x^3-6x

Answer 1

(x² + 4x - 6)(2x³ - 6x)

Multiply the each term

2x⁵ + 8x⁴ -12x³ - 6x³ -24x² + 36x

Simplify

2x⁵ + 8x⁴ - 18x³ -24x² + 36x.

Answer 2

The algebraic expression is (x² + 4x - 6)(2x³ - 6x)

(x² + 4x - 6)(2x³ - 6x) = x² (2x³) + x² (- 6x)+ 4x (2x³) + 4x(- 6x) - 6(2x³) - 6(- 6x)

Prouduct of powers property

= 2x²⁺³ - 6x²⁺¹ + 8x¹⁺³ - 24x¹⁺¹ - 12x³ + 36x

= 2x⁵ - 6x³ + 8x⁴ - 24x² - 12x³ + 36x

= 2x⁵ + 8x⁴ - 6x³  - 12x³ - 24x² + 36x

(x² + 4x - 6)(2x³ - 6x) = 2x⁵ + 8x⁴ - 18x³ - 24x² + 36x.