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# Class 9 Math Algebric Expressions and Algebric Formulas

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$5. Perform the indicated operation and simplify.(vi) \frac{1}{x-1}-\frac{1}{x+1}-\frac{2}{x^{2}+1}-\frac{4}{x^{4}-1}$

6. Perform the indicated operation and simplify.(i) \left(x^{2}-49\right) \cdot \frac{5 x+2}{x+7}

$6. Perform the indicated operation and simplify.(i) \left(x^{2}-49\right) \cdot \frac{5 x+2}{x+7}$

4. If x^{2}+y^{2}+z^{2}=78 and x y+y z+z x=59 then find the value \delta f x+y+z .

$4. If x^{2}+y^{2}+z^{2}=78 and x y+y z+z x=59 then find the value \delta f x+y+z .$

2. Find the conjugate of x+\sqrt{y} .(v) 5+\sqrt{7}

$2. Find the conjugate of x+\sqrt{y} .(v) 5+\sqrt{7}$

1. Rationalize the denominator of the following.(vi) \frac{2}{\sqrt{5}-\sqrt{3}}

$1. Rationalize the denominator of the following.(vi) \frac{2}{\sqrt{5}-\sqrt{3}}$

Example 3If a+b+c=7 and a b+b c+c a=9 then find the value of a^{2}+b^{2}+c^{2} .

$Example 3If a+b+c=7 and a b+b c+c a=9 then find the value of a^{2}+b^{2}+c^{2} .$

2. Find the conjugate of x+\sqrt{y} .(i) 3+\sqrt{7}

$2. Find the conjugate of x+\sqrt{y} .(i) 3+\sqrt{7}$