Question

Simplify the expression

x²y³ • 5x²y (6x+y²)

Answer 1

The expression is x²y³ • 5x²y (6x + y²).

Recall the property : a^m • aⁿ = a^{m + n} .

5x^{2 + 2}y^{3 + 1} (6x + y²).

5x⁴y⁴ (6x + y²).

Apply distributive property : a(b + c) = ab + ac.

(5x⁴y⁴  * 6x) + (5x⁴y⁴ * y²)

30x^{4 + 1}y⁴ + 5x⁴y^{4 + 2}

30x⁵y⁴ + 5x⁴y⁶ .

The simplifoed expression is 30x⁵y⁴ + 5x⁴y⁶.