Subtract these monomials: \( \begin{array}{lll}\text { a) } 8 x-3 x & \text { b) } 8 a-7 a & \text { c) } 11 x^{2}-6 x^{2} \\ \text { d) } 5 a^{2}-9 a^{2} & \text { e) } m^{3}-5 m^{3} & \text { f) } 4 n^{4}-n^{4} \\ \text { g) } \frac{5}{6} x-\frac{1}{6} x & \text { h) } \frac{3 a^{2}}{4}-\frac{1}{2} a^{2} & \text { i) } \frac{a^{3}}{2}-\frac{2 a^{3}}{5}\end{array} \)

Simplify the expression by following steps: - step0: Solution: \(8a-7a\) - step1: Collect like terms: \(\left(8-7\right)a\) - step2: Subtract the numbers: \(a\) Calculate or simplify the expression \( 8*x - 3*x \). Simplify the expression by following steps: - step0: Solution: \(8x-3x\) - step1: Collect like terms: \(\left(8-3\right)x\) - step2: Subtract the numbers: \(5x\) Calculate or simplify the expression \( m^3 - 5*m^3 \). Simplify the expression by following steps: - step0: Solution: \(m^{3}-5m^{3}\) - step1: Collect like terms: \(\left(1-5\right)m^{3}\) - step2: Subtract the numbers: \(-4m^{3}\) Calculate or simplify the expression \( 4*n^4 - n^4 \). Simplify the expression by following steps: - step0: Solution: \(4n^{4}-n^{4}\) - step1: Collect like terms: \(\left(4-1\right)n^{4}\) - step2: Subtract the numbers: \(3n^{4}\) Calculate or simplify the expression \( 11*x^2 - 6*x^2 \). Simplify the expression by following steps: - step0: Solution: \(11x^{2}-6x^{2}\) - step1: Collect like terms: \(\left(11-6\right)x^{2}\) - step2: Subtract the numbers: \(5x^{2}\) Calculate or simplify the expression \( 5*a^2 - 9*a^2 \). Simplify the expression by following steps: - step0: Solution: \(5a^{2}-9a^{2}\) - step1: Collect like terms: \(\left(5-9\right)a^{2}\) - step2: Subtract the numbers: \(-4a^{2}\) Calculate or simplify the expression \( (a^3)/2 - (2*a^3)/5 \). Simplify the expression by following steps: - step0: Solution: \(\frac{a^{3}}{2}-\frac{2a^{3}}{5}\) - step1: Reduce fractions to a common denominator: \(\frac{a^{3}\times 5}{2\times 5}-\frac{2a^{3}\times 2}{5\times 2}\) - step2: Multiply the numbers: \(\frac{a^{3}\times 5}{10}-\frac{2a^{3}\times 2}{5\times 2}\) - step3: Multiply the numbers: \(\frac{a^{3}\times 5}{10}-\frac{2a^{3}\times 2}{10}\) - step4: Transform the expression: \(\frac{a^{3}\times 5-2a^{3}\times 2}{10}\) - step5: Reorder the terms: \(\frac{5a^{3}-2a^{3}\times 2}{10}\) - step6: Multiply the terms: \(\frac{5a^{3}-4a^{3}}{10}\) - step7: Subtract the terms: \(\frac{a^{3}}{10}\) Calculate or simplify the expression \( (5/6)*x - (1/6)*x \). Simplify the expression by following steps: - step0: Solution: \(\frac{5}{6}x-\frac{1}{6}x\) - step1: Collect like terms: \(\left(\frac{5}{6}-\frac{1}{6}\right)x\) - step2: Subtract the numbers: \(\frac{2}{3}x\) Calculate or simplify the expression \( (3*a^2)/4 - (1/2)*a^2 \). Simplify the expression by following steps: - step0: Solution: \(\frac{3a^{2}}{4}-\frac{1}{2}a^{2}\) - step1: Rewrite the expression: \(\frac{3a^{2}}{4}-\frac{a^{2}}{2}\) - step2: Reduce fractions to a common denominator: \(\frac{3a^{2}}{4}-\frac{a^{2}\times 2}{2\times 2}\) - step3: Multiply the numbers: \(\frac{3a^{2}}{4}-\frac{a^{2}\times 2}{4}\) - step4: Transform the expression: \(\frac{3a^{2}-a^{2}\times 2}{4}\) - step5: Reorder the terms: \(\frac{3a^{2}-2a^{2}}{4}\) - step6: Subtract the terms: \(\frac{a^{2}}{4}\) Aquí están los resultados de la resta de los monomios: a) \( 8x - 3x = 5x \) b) \( 8a - 7a = a \) c) \( 11x^{2} - 6x^{2} = 5x^{2} \) d) \( 5a^{2} - 9a^{2} = -4a^{2} \) e) \( m^{3} - 5m^{3} = -4m^{3} \) f) \( 4n^{4} - n^{4} = 3n^{4} \) g) \( \frac{5}{6}x - \frac{1}{6}x = \frac{2}{3}x \) h) \( \frac{3a^{2}}{4} - \frac{1}{2}a^{2} = \frac{a^{2}}{4} \) i) \( \frac{a^{3}}{2} - \frac{2a^{3}}{5} = \frac{a^{3}}{10} \) Si necesitas más ayuda, no dudes en preguntar.