Q2 of 84 Page 4

Simplify:

(i) (a+b+c)2 +(a-b+c)2


(ii) (a+b+c)2 -(a-b+c)2


(iii) (a+b+c)2 +(a-b+c)2+(a+b-c)2


(iv) (2x+p+c)2-(2x-p+c)2


(v) (x2+y2-z2)2-(x2-y2+z2)2

(i) Using idendity,


(ii) Using idendity,



(iii) Using idendity,



(iv) Using idendity,



(v) Using idendity,




More from this chapter

All 84 →
13

Prove that a2+ b2+c2–ab–bc–ca is always non-negative for all values of a, b and c.

 1

Write the following in the expanded form:

(i) (a + 2b + c)2


(ii) (2a - 3b - c)2


(iii) (-3x + y + z)2


(iv) (m + 2n – 5p)2


(v) (2 + x – 2y)2


(vi) (a2 + b2 + c2)2


(vii) (ab + bc + ca)2


(viii)


(ix)


(x) (x + 2y + 4z)2


(xi) (2x - y + z)2


(xii) (-2x + 3y + 2z)2

 3

If a+b+c =0 and a2+b2+c2 =16, find the value of ab + bc + ca.

 4

If a2+b2+c2 =16, and ab + bc + ca=10, find the value of a+b+c.