Q2 of 84 Page 4

Simplify each of the following :

(i) (x+3)3 + (x-3)3


(ii)


(iii)


(iv) (2x-5y)3 - (2x+5y)3

(i) Using the identity,


(ii) Using the identity, a3 - b3 = (a-b)(a2 +ab + b2)



(iii) Using the identity, a3 + b3 = (a+b)(a2 - ab + b2)



(iv) Using the identity, a3 - b3 = (a-b)(a2 + ab + b2)



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7

Simplify each of the following expressions :

(i) (x+y+z)2+


(ii) (x+y-2z)2-x2 – y2 - 3z2+4xy


(iii) (x2 – x + 1)2 - (x2 + x + 1)2

 1

Find the cube of each of the following binomial expressions:

(i)


(ii)


(iii)


(iv)

3

If a+b=10 and ab=21, find the value of a3+b3.

 4

If a-b=4 and ab=21, find the value of a3-b3.