Advertisements
Advertisements
प्रश्न
Simplify (2x + p - c)2 - (2x - p + c)2
Advertisements
उत्तर
We have
`(2x + p - c)^2 - (2x - p + c)^2`
`= [(2x)^2 + (p)^2 + (-c)^2 + 2(2x)(p) + 2(p)(-c) + 2(2x)(-c)] - [(2x)^2 + (-p)^2 + c^2 + 2(2x)(-p) + 2(2x)(c) + 2(-p)c]`
` =[4x^2 + p^2 + c^2 + 4xp - 2pc - 4cx] - [4x^2 + p^2 + c^2 - 4xp - 2pc + 4cx]`
`= 4x^2 + p^2 + c^2 + 4xp - 2pc - 4cx - 4x^2 - p^2 - c^2 + 4xp + 2pc - 4cx`
= 8xp - 8xc
= 8x(p - c)
`∴ (2x + p - c)^2 - (2x - p + c)^2 = 8x(p - c)`
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Evaluate the following product without multiplying directly:
104 × 96
Factorise the following using appropriate identity:
4y2 – 4y + 1
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
Evaluate the following using identities:
(2x + y) (2x − y)
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a − b = 5 and ab = 12, find the value of a2 + b2
If a1/3 + b1/3 + c1/3 = 0, then
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Evaluate: (4 − ab) (8 + ab)
If m - n = 0.9 and mn = 0.36, find:
m + n
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Expand the following:
(4a – b + 2c)2
