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Class 9 Math Algebric Expressions and Algebric Formulas


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Class 9Class 10First YearSecond Year
(iv)(3+2)(32)isequalto(a)7(b)7(c)1(iv) (3+\sqrt{2})(3-\sqrt{2}) is equal to(a) 7(b) -7 (c) -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}

6.Performtheindicatedoperationandsimplify.(i)(x249)5x+2x+76. 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 .

4.Ifx2+y2+z2=78andxy+yz+zx=59thenfindthevalueδfx+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}

2.Findtheconjugateofx+y.(v)5+72. 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}}

1.Rationalizethedenominatorofthefollowing.(vi)2531. 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} .

Example3Ifa+b+c=7andab+bc+ca=9thenfindthevalueofa2+b2+c2.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}

2.Findtheconjugateofx+y.(i)3+72. Find the conjugate of x+\sqrt{y} .(i) 3+\sqrt{7}

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