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) (2 x + p + c ) 2 -(2 x - p + c ) 2 (v) ( x 2 + y 2 - z 2 ) 2 -( x 2 - y 2 + z 2 ) 2

Question

Philoid · Accepted Answer

(i) Using idendity,

(ii) Using idendity,

(iii) Using idendity,

(iv) Using idendity,

(v) Using idendity,

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

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