Paper Details

Question 1

Multiply and collect like terms: (a+3b) (a−2b).

Question 2

Multiply and collect like terms: (6d−1) (3d²+ 2d − 7).

Question 3

Multiply: (−3/4b²) (−6a²b⁵). Simplify your answer. Use integers or improper fractions for any numbers in the expression.

Question 4

Multiply and collect like terms: (5u−6) (4u² − 5u + 4).

Question 5

Multiply: −8ab³ (a⁵b⁴ + 6a²b + 3ab −6).

Question 6

Multiply and collect like terms: (2u+7v) (u+2v).

Question 7

Multiply: −6ab³ (a⁵b² – 2a⁴b − 10ab − 7).

Question 8

Multiply: (76a⁷b²) (5a⁴b⁶).

Note: Mixed numbers should not be used in expressions with variables.

Question 9

Multiply: (1/3r⁷) (4r⁶).

Question 10

Multiply: (6y⁴) (6/7x).

Question 11

Multiply: −9ab⁵ (a²b⁴ – 10a3b + 5ab −3).

Question 12

Multiply: −6ab⁵ (a³b⁴ – 2a²b − 5ab − 10).

Question 13

Multiply and collect like terms: (3p+5q) (3p+6q).

Question 14

Multiply using the distributive property and collect like terms: (y+6) (y+6).

Question 15

Multiply and collect like terms: (n−9) (6n²−n+7).

Question 16

Multiply and collect like terms: (x+9) (2x²+5x+7).

ANSWERS:

Question 1

Multiply and collect like terms: (a+3b) (a−2b).

Answer

a²+ab – 6b²

Question 2

Multiply and collect like terms: (6d−1) (3d²+ 2d − 7).

Answer

18d³ + 9d² – 44d + 7

Question 3

Multiply: (−3/4b²) (−6a²b⁵). Simplify your answer. Use integers or improper fractions for any numbers in the expression.

Answer

9/2a²b⁷

Use the commutative property to rearrange the terms and multiply.

(−3/4b²) (−6a⁵b⁵) = −3/4 ⋅ (−6) ⋅ a² ⋅ b² ⋅ b⁵

=9/2a²b⁷

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(Answer) MATH114N – Week 2 Assignment: Multiplying Polynomials