Advertisements
Advertisements
Question
Factorize `21x^2 - 2x + 1/21`
Advertisements
Solution
`= (sqrt21x)^2 - 2 xx sqrt21x xx 1/sqrt21 + (1/sqrt21)^2`
Using idnetity `a^2 - 2ab + b^2 = (a - b)^2`
`= (sqrt21x - 1/sqrt21)^2`
`∴ 21x^2 - 2x + 1/21 = (sqrt21x - 1/sqrt21)^2`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize: x3 + x - 3x2 - 3
Factorize `x^2 - 2sqrt2x - 30`
Factorize the following expressions:
a3 + b3 + a + b
If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 +c2.
Evaluate: (3x - 1)(4x3 - 2x2 + 6x - 3)
Multiply: (xy + 2b)(xy - 2b)
Divide: 5x2 - 3x by x
Which of the following expressions has the value 37?
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
