Advertisements
Advertisements
प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
उत्तर
4y2 – 4y + 1
= (2y)2 – 2(2y)(1) + (1)2
= (2y – 1)2 ...[x2 – 2xy + y2 = (x – y)2]
= (2y – 1)(2y – 1)
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(2x – y + z)2
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
Volume : 12ky2 + 8ky – 20k |
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
If 3x - 7y = 10 and xy = -1, find the value of `9x^2 + 49y^2`
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If a + b = 10 and ab = 21, find the value of a3 + b3
Evaluate of the following:
933 − 1073
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
The product (x2−1) (x4 + x2 + 1) is equal to
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(2a+3) (2a−3)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Expand the following:
(3x + 4) (2x - 1)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If m - n = 0.9 and mn = 0.36, find:
m + n
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz