Advertisements
Advertisements
प्रश्न
Simplify:
(x + y - z)2 + (x - y + z)2
Advertisements
उत्तर
(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.
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Write the following cube in expanded form:
(2a – 3b)3
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Write in the expanded form: `(x/y + y/z + z/x)^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
If a2 + b2 + c2 − ab − bc − ca =0, then
Find the squares of the following:
9m - 2n
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate the following without multiplying:
(999)2
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
