Simplify the expression: 5x²y⁴ (5x⁶y +2x²y² +10)

To simplify the expression, distribute 5x²y⁴ to each term inside the parentheses:

\( 5x^2y^4 \cdot 5x^6y = 25x^{2+6}y^{4+1} = 25x^8y^5 \)

\( 5x^2y^4 \cdot 2x^2y^2 = 10x^{2+2}y^{4+2} = 10x^4y^6 \)

\( 5x^2y^4 \cdot 10 = 50x^2y^4 \)

Combining these terms, we get:

\( 25x^8y^5 + 10x^4y^6 + 50x^2y^4 \)

Ответ: 25x⁸y⁵ + 10x⁴y⁶ + 50x²y⁴.