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Answer:

SPECIAL PRODUCTS

Multiply the following polynomials

Product of a Polynomial by a Monomial

1.

• 2a²b ( 6ab + 8a²b + 9ab²)
• 2a²b (6ab) + 2a²b (8a²b) + 2a²b (9ab²)
• 12a³b² + 16a⁴b² + 18a³b³ ✓

2.

• 3y² ( 4a - 9b + 3c )
• 3y² (4a) + 3y² (-9b) + 3y² (3c)
• 12ay² - 27by² + 9cy² ✓

Product of Two Binomials

3.

• (3x + 2) (2x + 5)
• 3x (2x + 5) + 2 (2x + 5)
• 6x² + 15x + 4x + 10
• 6x² + 19x + 10 ✓

Product of a Polynomial to Another Polynomial

4.

• ( 4y² -y + 6 ) ( 4y - 5 )
• 4y² (4y - 5) - y (4y - 5) + 6 (4y - 5)
• 16y³ - 20y² - 4y² + 5y + 24y - 30
• 16y³ - 24y² + 29y - 30 ✓

5.

• ( 4a - 2ab + 1 ) ( 2a + b - 3 )
• 4a (2a + b - 3) - 2ab (2a + b - 3) + 1 (2a + b - 3)
• 8a² + 4ab - 12a - 4a²b - 2ab² + 6ab + 2a + b - 3
• 8a² + 4ab + 6ab - 12a + 2a - 4a²b - 2ab² + b - 3
• 8a² + 10ab - 10a - 4a²b - 2ab² + b - 3 ✓

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