Advertisements
Advertisements
प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
Advertisements
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:
(3a – 7b – c)2
Write the following cube in expanded form:
`[x-2/3y]^3`
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Write in the expanded form: `(x/y + y/z + z/x)^2`
Write in the expand form: `(2x - y + z)^2`
If \[x + \frac{1}{x} = 5\], find the value of \[x^3 + \frac{1}{x^3}\]
Evaluate the following:
(98)3
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
(a − b)3 + (b − c)3 + (c − a)3 =
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Evaluate the following without multiplying:
(1005)2
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
