Advertisements
Advertisements
Question
Simplify:
(x + y - z)2 + (x - y + z)2
Sum
Solution
(x + y - z)2 + (x - y + z)2
= x2 + y2 + z2 + 2(x)(y) + 2(y)(-z) + 2(x)(-z) + x2 + y2 + z2 + 2(x)(-y) + 2(-y) + 2(x)(z)
= x2 + y2 + z2 + 2xy - 2yz - 2xz + x2 + y2 + z2 - 2xy - 2yz + 2xz
= 2x2 + 2y2 + 2z2 - 4yz.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`
Evaluate of the following:
1113 − 893
Evaluate of the following:
463+343
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
(a − b)3 + (b − c)3 + (c − a)3 =
Evalute : `((2x)/7 - (7y)/4)^2`
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
