Question

The produce of 6x³ y³ and 2x² y is
a.3xy²
b.12x⁶ y³
c.12x⁵y⁴
d.8x⁵ y⁴

Answer 1

The product of the expressions 6x³y³ and 2x²y is found by multiplying the coefficients and adding the exponents, resulting in 12xµy´.

Step-by-step explanation:

The question is asking to find the product of two algebraic expressions, 6x³y³ and 2x²y. To do this, we multiply the coefficients (6 and 2) and then apply the rule of multiplying exponentiated quantities, which states that when multiplying powers with the same base, you add the exponents.

Step-by-step:

1. Multiply the coefficients: 6 × 2 = 12.
2. Add the exponents for the variable x: 3 (from x³) + 2 (from x²) = 5, resulting in xµ.
3. Add the exponents for the variable y: 3 (from y³) + 1 (from y) = 4, resulting in y´.

Putting it all together, the final answer is 12xµy´, which corresponds to option c.