Distributive Property with Variable Factors

5(3m − 6)

Distribute, then simplify by combining like terms. x² ( 3x³ - 4x² + 9x - 8 )

• 3x⁵ - 4x⁴ + 9x³ - 8x²

• 3x⁶ - 4x⁴ + 9x³ - 8x²

• 3x⁶ - 4x⁴ + 9x² - 8x²

• 3x⁵ - 4x² + 9x² - 8x²

Distribute, then simplify by combining like terms. 2xy ( -5x²y + 4xy - 6xy² )

• -3x³y² + 6x²y² - 4x²y³

• -10x³y² + 8x²y² - 12x²y³

• -10x³y + 8xy - 12xy²

• -10x²y + 8x²y² - 12xy³

Remove parentheses, then combine like terms. x² (x + 4) - 16x (x + 4) - 5 (x + 4)

• - 9x² - 69x - 20

• x³ - 12x² - 69x - 20

• x³ + 4x² - 21x - 84

• x³ - 12x² + 59x - 20

Distribute, then simplify by combining like terms. - 7y( 8x² + 9y² ) + 9x²( 6x - y )

• -63x³ - 65x²y + 54y³

• 54x³ - 65x²y - 63y²

• 54x³ - 54x²y - 63y³

• 54x³ - 65x²y - 63y³

Remove parentheses using the distributive property. - ( 6x² - 13x + 9 )

• -6x² - 13x + 9

• -6x² + 13x + 9

• -6x² + 13x - 9

• 6x² + 13x - 9

Distribute, then simplify by combining like terms. -9 ( 4x + 3 ) - 7 ( 6x - 4 )

• -78x + 1

• -78x - 55

• -78x + 55

• 78x + 1

Distribute, then simplify by combining like terms. 17 - 8 ( 4x - 12 )

• -15x + 96

• -32x - 79

• -32x + 113

• 36x - 108

Distribute, then simplify by combining like terms. 12x ( x - 7 ) - 8 ( x - 7 )

• 4x² - 28x

• 12x² - 92x + 56

• 12x² - 92x - 56

• 12x² - 76x + 56

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

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