Advertisements
Advertisements
Question
Factorise the following using appropriate identity:
4y2 – 4y + 1
Advertisements
Solution
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
RELATED QUESTIONS
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Expand the following, using suitable identity:
(2x – y + z)2
Evaluate the following using suitable identity:
(102)3
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c
Write in the expanded form:
`(2 + x - 2y)^2`
If a + b = 10 and ab = 21, find the value of a3 + b3
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
Evalute : `( 7/8x + 4/5y)^2`
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Expand the following:
`(2"a" + 1/(2"a"))^2`
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If x + y = 1 and xy = -12; find:
x - y
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
Using suitable identity, evaluate the following:
1033
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
