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`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
Factorize `2a^2 + 2 sqrt6ab + 3b^2`
What are the possible expressions for the dimensions of the cuboid whose volume is 3x2 - 12x.
If x2 + y2 = 29 and xy = 2, find the value of x + y.
The factors of x3 − 1 + y3 + 3xy are
Multiply: (-2x + 3y)(2x - 3y)
Multiply: (2x + 5y + 6)(3x + y - 8)
Which of the following expressions has the value 37?
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.
