Multiplying Polynomials

1. (x + 3)(x - 2)
2. (2x - 5)(3x + 4)
3. (4x + 7)(x - 1)
4. (x - 6)(x - 6)
5. (2x + 1)(x + 2)
6. (3x - 4)(2x + 5)
7. (x + 2)(x - 3)
8. (2x - 3)(x + 4)
9. (x + 5)(x + 5)
10. (3x - 2)(4x + 1)

Answers

Step-by-step solutions

(2x - 5)(3x + 4)

Expanded form: 2x * 3x + 2x * 4 + (-5) * 3x + (-5) * 4

Simplified: 6x² + 8x - 15x - 20

Result: 6x² - 7x - 20

(4x + 7)(x - 1)

Expanded form: 4x * x + 4x * (-1) + 7 * x + 7 * (-1)

Simplified: 4x² - 4x + 7x - 7

Result: 4x² + 3x - 7

(x - 6)(x - 6)

Expanded form: x * x + x * (-6) + (-6) * x + (-6) * (-6)

Simplified: x² - 6x - 6x + 36

Result: x² - 12x + 36

(2x + 1)(x + 2)

Expanded form: 2x * x + 2x * 2 + 1 * x + 1 * 2

Simplified: 2x² + 4x + x + 2

Result: 2x² + 5x + 2

(3x - 4)(2x + 5)

Expanded form: 3x * 2x + 3x * 5 + (-4) * 2x + (-4) * 5

Simplified: 6x² + 15x - 8x - 20

Result: 6x² + 7x - 20

(x + 2)(x - 3)

Expanded form: x * x + x * (-3) + 2 * x + 2 * (-3)

Simplified: x² - 3x + 2x - 6

Result: x² - x - 6

(2x - 3)(x + 4)

Expanded form: 2x * x + 2x * 4 + (-3) * x + (-3) * 4

Simplified: 2x² + 8x - 3x - 12

Result: 2x² + 5x - 12

(x + 5)(x + 5)

Expanded form: x * x + x * 5 + 5 * x + 5 * 5

Simplified: x² + 5x + 5x + 25

Result: x² + 10x + 25

(3x - 2)(4x + 1)

Expanded form: 3x * 4x + 3x * 1 + (-2) * 4x + (-2) * 1

Simplified: 12x² + 3x - 8x - 2

Result: 12x² - 5x - 2