Hey Ðƴŋâmïč̣, good to see you again. Step 1: Expand the terms in the numerator. The numerator is $5x^2(12x^2+6x) - (4x^3+3x^2) \cdot 10$. First part: $$ 5x^2(12x^2+6x) = (5x^2 \cdot 12x^2) + (5x^2 \cdot 6x) = 60x^{2+2} + 30x^{2+1} = 60x^4 + 30x^3 $$ Second part: $$ (4x^3+3x^2) \cdot 10 = (4x^3 \cdot 10) + (3x^2 \cdot 10) = 40x^3 + 30x^2 $$ Now substitute these back into the numerator: $$ (60x^4 + 30x^3) - (40x^3 + 30x^2) $$ Step 2: Simplify the numerator by combining like terms. $$ 60x^4 + 30x^3 - 40x^3 - 30x^2 $$ $$ 60x^4 + (30x^3 - 40x^3) - 30x^2 $$ $$ 60x^4 - 10x^3 - 30x^2 $$ Step 3: Expand the denominator. The denominator is $(5x^2)^2$. $$ (5x^2)^2 = 5^2 \cdot (x^2)^2 = 25x^{2 \cdot 2} = 25x^4 $$ Step 4: Divide the simplified numerator by the simplified denominator. The expression becomes: $$ \frac{60x^4 - 10x^3 - 30x^2}{25x^4} $$ Divide each term in the numerator by the denominator: $$ \frac{60x^4}{25x^4} - \frac{10x^3}{25x^4} - \frac{30x^2}{25x^4} $$ Simplify each fraction: $$ \frac{60}{25} - \frac{10}{25x} - \frac{30}{25x^2} $$ Reduce the numerical coefficients: $$ \frac{12 \cdot 5}{5 \cdot 5} - \frac{2 \cdot 5}{5 \cdot 5x} - \frac{6 \cdot 5}{5 \cdot 5x^2} $$ $$ \frac{12}{5} - \frac{2}{5x} - \frac{6}{5x^2} $$ The simplified expression is: $$ \boxed{\frac{12}{5} - \frac{2}{5x} - \frac{6}{5x^2}} $$ Send me the next one 📸