Question

rewrite without parentheses.
$6x^{2}y(8x^{5}+4x^{3}y^{6}-5y^{6})$
simplify your answer as much as possible.

Explanation:

Step1: Distribute the term outside

Multiply $6x^2y$ by each term inside the parentheses.
$6x^2y \cdot 8x^5 + 6x^2y \cdot 4x^3y^6 - 6x^2y \cdot 5y^6$

Step2: Multiply coefficients and add exponents

Calculate each product using exponent rule $x^a \cdot x^b = x^{a+b}$.
$(6 \cdot 8)x^{2+5}y + (6 \cdot 4)x^{2+3}y^{1+6} - (6 \cdot 5)x^2y^{1+6}$

Step3: Simplify each term

Compute coefficients and final exponents.
$48x^7y + 24x^5y^7 - 30x^2y^7$

Answer:

$48x^7y + 24x^5y^7 - 30x^2y^7$