Multiplying Two Binomials (A) - Math-Drills

[Pages:20]Multiplying Two Binomials (A)

Simplify each expression. 1. (-7z2 - 7z)(-z4 + 2z3) 2. (7k + 8)(-9k2 - 5k) 3. (5n3 - 7n2)(-2n - 1) 4. (9x + 7)(-5x4 - x3) 5. (8y5 + 5y4)(4y4 + 8y3) 6. (7a4 - 3a3)(9a4 - 7a3) 7. (-7t4 + 9t3)(7t5 + 4t4) 8. (-2b3 - 7b2)(-5b5 - 2b4) 9. (-7s4 + 8s3)(-2s4 - 4s3) 10. (-c4 + 4c3)(-5c2 - 9c)

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Multiplying Two Binomials (A) Answers

Simplify each expression.

1. (-7z2 - 7z)(-z4 + 2z3) = 7z6 - 7z5 - 14z4

2. (7k + 8)(-9k2 - 5k) = -63k3 - 107k2 - 40k

3. (5n3 - 7n2)(-2n - 1) = -10n4 + 9n3 + 7n2

4. (9x + 7)(-5x4 - x3) = -45x5 - 44x4 - 7x3

5. (8y5 + 5y4)(4y4 + 8y3) = 32y9 + 84y8 + 40y7

6. (7a4 - 3a3)(9a4 - 7a3) = 63a8 - 76a7 + 21a6

7. (-7t4 + 9t3)(7t5 + 4t4) = -49t9 + 35t8 + 36t7

8. (-2b3 - 7b2)(-5b5 - 2b4) = 10b8 + 39b7 + 14b6

9. (-7s4 + 8s3)(-2s4 - 4s3) = 14s8 + 12s7 - 32s6

10. (-c4 + 4c3)(-5c2 - 9c) = 5c6 - 11c5 - 36c4

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Multiplying Two Binomials (B)

Simplify each expression. 1. (8n + 1)(5n3 + n2) 2. (y + 4)(6y5 - 9y4) 3. (-4b3 + 4b2)(5b3 - 7b2) 4. (-2r3 + 2r2)(4r4 + 6r3) 5. (b4 + b3)(b3 - 9b2) 6. (2y + 5)(7y - 1) 7. (-9m4 + 6m3)(-7m4 + 9m3) 8. (-4y3 - 7y2)(5y + 9) 9. (5d2 + 9d)(7d5 - 8d4) 10. (5d5 - 8d4)(-9d + 7)

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Multiplying Two Binomials (B) Answers

Simplify each expression.

1. (8n + 1)(5n3 + n2) = 40n4 + 13n3 + n2

2. (y + 4)(6y5 - 9y4) = 6y6 + 15y5 - 36y4

3. (-4b3 + 4b2)(5b3 - 7b2) = -20b6 + 48b5 - 28b4

4. (-2r3 + 2r2)(4r4 + 6r3) = -8r7 - 4r6 + 12r5

5. (b4 + b3)(b3 - 9b2) = b7 - 8b6 - 9b5

6. (2y + 5)(7y - 1) = 14y2 + 33y - 5

7. (-9m4 + 6m3)(-7m4 + 9m3) = 63m8 - 123m7 + 54m6

8. (-4y3 - 7y2)(5y + 9) = -20y4 - 71y3 - 63y2

9. (5d2 + 9d)(7d5 - 8d4) = 35d7 + 23d6 - 72d5

10. (5d5 - 8d4)(-9d + 7) = -45d6 + 107d5 - 56d4

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Multiplying Two Binomials (C)

Simplify each expression. 1. (-v5 + 4v4)(v + 2) 2. (-8f - 1)(-6f - 5) 3. (-5v2 - 5v)(5v5 + v4) 4. (3b3 + 7b2)(6b4 + 4b3) 5. (-4s2 - 7s)(-4s4 + s3) 6. (9v2 - 7v)(4v2 - 3v) 7. (7h + 9)(-9h2 + 4h) 8. (-8h2 + 7h)(4h2 + 3h) 9. (c3 + 4c2)(8c4 - 7c3) 10. (m5 - 6m4)(-2m + 6)

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Multiplying Two Binomials (C) Answers

Simplify each expression.

1. (-v5 + 4v4)(v + 2) = -v6 + 2v5 + 8v4

2. (-8f - 1)(-6f - 5) = 48f 2 + 46f + 5

3. (-5v2 - 5v)(5v5 + v4) = -25v7 - 30v6 - 5v5

4. (3b3 + 7b2)(6b4 + 4b3) = 18b7 + 54b6 + 28b5

5. (-4s2 - 7s)(-4s4 + s3) = 16s6 + 24s5 - 7s4

6. (9v2 - 7v)(4v2 - 3v) = 36v4 - 55v3 + 21v2

7. (7h + 9)(-9h2 + 4h) = -63h3 - 53h2 + 36h

8. (-8h2 + 7h)(4h2 + 3h) = -32h4 + 4h3 + 21h2

9. (c3 + 4c2)(8c4 - 7c3) = 8c7 + 25c6 - 28c5

10. (m5 - 6m4)(-2m + 6) = -2m6 + 18m5 - 36m4

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Multiplying Two Binomials (D)

Simplify each expression. 1. (-3a4 + 8a3)(a3 - 6a2) 2. (-2q5 - 5q4)(2q + 7) 3. (6v4 - 2v3)(-5v3 - 5v2) 4. (-2g - 8)(-6g - 1) 5. (-6f 3 + 9f 2)(4f 2 - 8f ) 6. (6x3 - 4x2)(-x5 - 2x4) 7. (-4q + 2)(-5q5 + 8q4) 8. (4n5 + 2n4)(8n4 + 7n3) 9. (-7r - 7)(-9r2 + 8r) 10. (-6q - 7)(-6q3 + 4q2)

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Multiplying Two Binomials (D) Answers

Simplify each expression.

1. (-3a4 + 8a3)(a3 - 6a2) = -3a7 + 26a6 - 48a5

2. (-2q5 - 5q4)(2q + 7) = -4q6 - 24q5 - 35q4

3. (6v4 - 2v3)(-5v3 - 5v2) = -30v7 - 20v6 + 10v5

4. (-2g - 8)(-6g - 1) = 12g2 + 50g + 8

5. (-6f 3 + 9f 2)(4f 2 - 8f ) = -24f 5 + 84f 4 - 72f 3

6. (6x3 - 4x2)(-x5 - 2x4) = -6x8 - 8x7 + 8x6

7. (-4q + 2)(-5q5 + 8q4) = 20q6 - 42q5 + 16q4

8. (4n5 + 2n4)(8n4 + 7n3) = 32n9 + 44n8 + 14n7

9. (-7r - 7)(-9r2 + 8r) = 63r3 + 7r2 - 56r

10. (-6q - 7)(-6q3 + 4q2) = 36q4 + 18q3 - 28q2

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