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Simplifying algebraic fractions - Variation Theory - Free Printable

Simplifying algebraic fractions - Variation Theory

Educational worksheet: Simplifying algebraic fractions - Variation Theory. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Simplifying algebraic fractions - Variation Theory
- $\frac{2(x + 3)}{3(x + 3)}$ simplifies to $\frac{2}{3}$ for $x \neq -3$.
- $\frac{2(x + 3)}{(x + 3)}$ simplifies to $2$ for $x \neq -3$.
- $\frac{(x + 3)}{2(x + 3)}$ simplifies to $\frac{1}{2}$ for $x \neq -3$.
- $\frac{x + 3}{2x + 6}$ simplifies to $\frac{1}{2}$ for $x \neq -3$.
- $\frac{(x + 3)(x + 4)}{2x + 6}$ simplifies to $\frac{x + 4}{2}$ for $x \neq -3$.
- $\frac{(x + 3)(x + 4)}{2x + 8}$ simplifies to $\frac{x + 3}{2}$ for $x \neq -4$.
- $\frac{x^2 + 7x + 12}{2x + 8}$ simplifies to $\frac{x + 3}{2}$ for $x \neq -4$.
- $\frac{x^2 + 7x + 12}{(x + 4)(x - 9)}$ simplifies to $\frac{x + 3}{x - 9}$ for $x \neq -4$.
- $\frac{x^2 + 7x + 12}{x^2 - 5x - 36}$ simplifies to $\frac{x + 3}{x - 9}$ for $x \neq -4$.
- $\frac{2x^2 + 14x + 24}{x^2 - 5x - 36}$ simplifies to $\frac{2(x + 3)}{x - 9}$ for $x \neq -4$.
- $\frac{2x^2 + 14x + 24}{3x^2 - 15x - 108}$ simplifies to $\frac{2(x + 3)}{3(x - 9)}$ for $x \neq -4$.
- $\frac{2x^2 + 14x + 24}{3x^2 + 4x - 15}$ simplifies to $\frac{2(x + 3)(x + 4)}{(3x - 5)(x + 3)} = \frac{2(x + 4)}{3x - 5}$ for $x \neq -3$.
- $\frac{14x - 24 - 2x^2}{3x^2 + 4x - 15}$ simplifies to $\frac{-2(x - 3)(x + 4)}{(3x - 5)(x + 3)}$ for $x \neq -3$.
- $\frac{14x - 24 - 2x^2}{3x^2 - 4x - 15}$ simplifies to $\frac{-2(x - 3)(x + 4)}{(3x + 5)(x - 3)} = \frac{-2(x + 4)}{3x + 5}$ for $x \neq 3$.
Parent Tip: Review the logic above to help your child master the concept of simplifying algebraic fractions worksheet.
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