Algebraic identities part 6

Algebraic Expressions and Polynomials

Prove that "The Algebraic Sum of deviations from Mean is zero".

A particle is projected with velocity 'u' makes an angle theta w.r.t. horizontal. Now it breaks in two identical parts at highest point of trajectory. If one part is retrace its path, then velocity of other part is -

Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

Add the following algebraic expressions : 2a - 3b + 4c , -3a + 2b - 5c , 7a - c and 3b + 6c

Find the sum of the following algebraic expressions : 3a - 4b + 5c , 2a + 3b - 6c , - 5a + 8b + 7c

Fill in the blanks. An algebraic expression is called an equation if it involves an ______________.

Check whether the following equation tan^(4)theta+tan^(6)theta=tan^(3)thetasec^(2)theta is an identity or not ?

Write the algebraic expressions for the following. Five times a number x added to 68

Write the algebraic expressions for the following. A number x multiplied by 4 and added to 14.