Advertisements
Advertisements
Question
Factorize: x4 + x2 + 25.
Advertisements
Solution
The given expression to be factorized is x4 + x2 + 25
This can be written in the form
x4 + x2 + 25= ` (x^2)^2 + 2x^2 .5 + (5)^2 - 9x^2`
` = {(x^2)^2 + 2x^2 .5 + (5)^2}- (3x)^2`
` = (x^2 + 5)^2 - (3x)^2`
` = (x^2 + 5 + 3x) (x^2 + 5 - 3x)`
We cannot further factorize the expression.
So, the required factorization is. `x^4 + x^2 + 25 = (x^2 + 5+3x)(x^2 + 5 - 3x)`
APPEARS IN
RELATED QUESTIONS
Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
(x + y)3 − (x − y)3 can be factorized as
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
Evaluate: (3c - 5d)(4c - 6d)
Divide: 2a2 - 11a + 12 by a - 4
Write the variables, constant and terms of the following expression
18 + x – y
Number of terms in the expression a2 + bc × d is ______.
Shiv works in a mall and gets paid ₹ 50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.
