Question

Maths formula for class 8

Answer 1

Algebraic  Expansions:


    1. (a + b)2 = a2 + 2ab + b2


    2. (a - b)2  = a2 - 2ab + b2


    3. (a + b) (a - b) = a2 - b2


    4. (x + a)(x + b) = x2 + (a + b)x + ab


    5.  (x + a)(x - b) = x2 + (a - b)x - ab


    6.  (x - a)(x + b) = x2 + (b - a)x - ab


    7.  (x - a)(x - b)  = x2 - (a + b)x + ab


    8.  (a + b)3 = a3 + b3 + 3ab(a + b)


    9.  (a - b)3  = a3 - b3 - 3ab (a - b)


   10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz


   11. (x + y - z)2  = x2 + y2 + z2 + 2xy - 2yz - 2xz


   12. (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz


   13. (x - y - z)2  = x2 + y2 + z2 - 2xy + 2yz - 2xz


Temperature Conversions :

    ºC  = 5959  ( ºF - 32 )  ºF = 9595  ( ºC + 32 )


Simple Interest  = PTR100PTR100


Pythagorean Theorem:

     a2 + b2  = c2



Laws of Exponents


Product Law:  am*an = am+n


Quotient Law:  =  aman=am−naman=am−n, if m>n

                      
                      =  1an−m1an−m ,if n>m



 Power law:  (am)n = amn

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Answer 2

Step-by-step explanation:

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