Expansion of Linear Algebraic Expressions

Expansion of Linear Algebraic Expressions

TGM Original Questions

Expand and simplify each of the following expressions.

  1. Subtract \(9x^3 - 2x^2 + 5x - 3\) from \(6x^3 - x^2 + 10\).
  2. Subtract \(y^2 - y + 3\) from the sum of \(5y^2 + 10y - 2\) and \(1- 5y - y^2\).
  3. Subtract the product of \(2\) and \(v^2 - 2v + 3\) from the product of \(-4\) and $2 - v^2$.

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Answer:(a) \(-3x^3+x^2-5x+13\) (b) \(3y^2+6y-4\) (c) \(2v^2+4v-14\)

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