Multiply Polynomials

Multiply: (8x - y)(x² + 6xy + 3y²)

Mathematical Equivalence

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When multiplying 3x² by x, what is the correct way to handle the exponents?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What is the result of multiplying 3x²y³ by 5xy²?

• 15x³y⁵

• 15x⁵y⁵

• 8x³y⁵

• 15x²y⁵

Why can't the distributive property be used with exponents in the form of (3x - 5)²?

• Because the expression inside the parenthesis is not a polynomial

• Because the distributive property does not apply to variables

• Because exponents can only be distributed over multiplication

• Because the exponent applies to the entire expression, not individual terms

What is the result of (3x - 5)² using the correct method?

• 9x² + 25

• 9x² - 30x + 25

• 9x² - 15x

• 6x² - 10x + 25