Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

The factors of $25 x 2 − 1 + (1 + 5 x) 2$ are [[1]] and [[2]].

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is 10 X AND 5 X + 1.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The factors of

25 x 2 − 1 + (1 + 5 x) 2

are

10 x

and

5 x + 1 .

The given polynomial is,

25 x 2 − 1 + (1 + 5 x) 2

We use the concept of algebraic identities to solve the given polynomial.
By expanding the bracket, we get,

⇒ 25 x 2 − 1 + 1 + 5 x 2

⇒ = 5 x 2 − 1 + 1 + 5 x 2

Apply the algebraic identity,

a + b a − b = a 2 − b 2

Therefore,

⇒ 5 x + 1 5 x − 1 + 1 + 5 x 2

⇒ 5 x + 1 5 x − 1 + 1 + 5 x

⇒ 10 x 5 x + 1

Thus, the factors of the polynomial are

10 x 5 x + 1 .

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test