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Order operations and algebra - class-VII
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Subtract $ - \frac{2}{3}{y^3}-\frac{2}{7}{y^2} - 5$ from $\frac{1}{3}{y^3} + \frac{5}{7}{y^2} - 2$, then the resultant value is .
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A
${y^3} + {y^2} + 3$
💡 Explanation:
To subtract the first expression from the second, compute ((1/3)y^3 + (5/7)y^2 - 2) - (-(2/3)y^3 - (2/7)y^2 - 5). Distributing the negative sign gives ((1/3) + (2/3))y^3 + ((5/7) + (2/7))y^2 + (-2 + 5), which simplifies to y^3 + y^2 + 3.