What is (2x+3) raised to the fifth power

Question

Mathematics

Nicholas Stanton

14 May, 04:35

What is (2x+3) raised to the fifth power

+3

Answers (1)

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Keaton Curtis · Answer 1

(2x + 3) ⁵

(2x + 3) (2x + 3) (2x + 3) (2x + 3) (2x + 3) (2x + 3)

(2x (2x + 3) + 3 (2x + 3)) (2x (2x + 3) + 3 (2x + 3) (2x + 3)

(2x (2x) + 2x (3) + 3 (2x) + 3 (3)) (2x (2x) + 2x (3) + 3 (2x) + 3 (3)) (2x + 3)

(4x² + 6x + 6x + 9) (4x² + 6x + 6x + 9) (2x + 3)

(4x² + 12x + 9) (4x² + 12x + 9) (2x + 3)

(4x² (4x² + 12x + 9) + 12x (4x² + 12x + 9) + 9 (4x² + 12x + 9)) (2x + 3)

(4x² (4x²) + 4x² (12x) + 4x² (9) + 12x (4x²) + 12x (12x) + 12x (9) + 9 (4x²) + 9 (12x) + 9 (9)) (2x + 3)

(16x⁴ + 48x³ + 36x² + 48x³ + 144x² + 108x + 36x² + 108x + 81) (2x + 3)

(16x⁴ + 48x³ + 48x³ + 36x² + 144x² + 36x² + 108x + 108x + 81) (2x + 3)

(16x⁴ + 96x³ + 216x² + 216x + 81) (2x + 3)

16x⁴ (2x + 3) + 96x³ (2x + 3) + 216x² (2x + 3) + 216x (2x + 3) + 81 (2x + 3)

16x⁴ (2x) + 16x⁴ (3) + 96x³ (2x) + 96x³ (3) + 216x² (2x) + 216x² (3) + 216x (2x) + 216x (3) + 81 (2x) + 81 (3)

32x⁵ + 48x⁴ + 184x⁴ + 288x³ + 432x³ + 648x² + 432x² + 648x + 162x + 243

32x⁵ + 232x⁴ + 720x³ + 1080x² + 810x + 243