Question

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

Answer 1

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

Explanation:

Answer 2

18x⁴ - 30x³ + 66x² - 40x + 56

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

Vocabulary:

Expression

• A mathematical symbol, or combination of symbols, representing a value, or relation.

Example: 2 + 2 = 4

Combination

• A selection in which order has no importance