Q. 1 E4.3( 16 Votes )

# Let us factorise

Answer :

As we know that,

a2 – b2 = (a – b)(a + b)

The given expression can be rewritten as:

(x + 1)2(x – 1)2 + 8x(x2 + 1) + 19x2

Using (a – b)2 = a2 + b2 – 2ab, and

(a + b)2 = a2 + b2 + 2ab

(x2 + 1 + 2x)(x2 + 1 – 2x) + 8x(x2 + 1) + 19x2

Let x2 + 1 =p

(p + 2x)(p – 2x) + 8xp + 19x2

p2 – 4x2 + 8xp + 19x2

p2 + 8xp + 15x2

p2 + 3xp + 5xp + 15x2

p(p+3x) + 5x(p + 3x)

(p + 5x)(p + 3x)

On substituting the value of p, we get,

(x2 + 5x + 1)(x2 + 3x + 1)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Let us check the West Bengal Mathematics

Let us calculate West Bengal Mathematics

The value of 25<sWest Bengal Mathematics

Short answer typeWest Bengal Mathematics

Short answer typeWest Bengal Mathematics

Let us factorise West Bengal Mathematics

Short answer typeWest Bengal Mathematics

Let us factorise West Bengal Mathematics

If <img widWest Bengal Mathematics

If x2 West Bengal Mathematics