# Simplifying Rational Expressions

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Question 1
Calculate the value of the expression: $$\frac{(x+5)(x-5)}{x^2+5}$$ for $$x=2$$

Question 2
Simplify the expression: $$\frac{3x^6}{9x^2(x-1)}$$

Question 3
Which expression is equivalent to: $$\frac{6x+2}{4x+2}$$

Question 4
Which identity is NOT correct?

Question 5
For which $$x$$ is the expression $$\frac{(x+2)(x-1)}{(x-2)(x+1)}$$ undefined?

Question 6
Simplify the expression: $$\frac{(x+3)(x-2)}{(2-x)(3-x)},x\neq2, x\neq3$$

Question 7
Which expresion is equivalent to: $$\frac{x^2+x-2}{x-1},x\neq1$$

Question 8
Which identity is correct?

Question 9
Simplify the expression: $$\frac{8x^2 - 32x + 32}{4x-8},x\neq2$$

Question 10
Simplify the expression: $$\frac{x^2-x}{x^2 -2x+1}$$

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