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olga55 [171]
2 years ago
6

Find the product: (6x^2+8)(3x^2-5x+7)

Mathematics
2 answers:
Leno4ka [110]2 years ago
8 0

Answer:

18x⁴ - 30x³ + 66x² - 40x + 56

Step-by-step explanation:

1) Distribute

  • (6x² + 8) (3x² - 5x + 7)
  • 6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)

2) Distribute

  • 6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)
  • 18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)

3) Distribute

  • 18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)
  • 18x⁴ - 30x³ + 42x² + 24x² - 40x + 56

4) Combine like terms

  • 18x⁴ - 30x³ + 42x² + 24x² - 40x + 56
  • 18x⁴ - 30x³ + 66x² - 40x + 56
<h3>Vocabulary:</h3>

Expression

  • <em>A mathematical symbol, or combination of symbols, representing a value, or relation.</em>

Example: 2 + 2 = 4

Combination

  • <em>A selection in which order has no importance</em>
Afina-wow [57]2 years ago
8 0

Answer:

The product would be 18x^4 - 30x^3 + 66x^2 - 40x + 56

Step-by-step explanation:

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