Distribute Monomial Polynomial

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

Multiply

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-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Multiply the following

6h(5h² - 2hz - 4z²)

• 30h³ - 12h²z - 24hz

• 11h³ - 12h²z - 24hz²

• 30h - 12hz - 24 hz²

• 30h³ - 12h²z - 24hz²

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x

• 6x³ + 18x² + 9

5x(2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

Multiply: 3m²n ( 4m² - 5n + 3 )

• 3m⁴n - 15m²n² + 9m²n

• 12m⁴n - 15m²n² + 9m²n

• 12m²n + 15m²n² - 9m²n

• 4m⁴n - 5m²n² + 3m²n

5x(4x³ + 8)

• 9x⁴ + 40x

• 20x⁴ + 40x

Simplify:
3x³(2x² + 9x + 6)

• 6x⁵ + 27x⁴ + 18x

• 6x⁵ + 18x² + 9

• 6x⁵ + 27x⁴ + 18x³

• 6x⁵ + 45x³ 

Simplify:
2x ( -2x -3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6