Question

(a-1)×^2 + a^2xy + (a+ 1) y^2 solve this factorisation

Answer 1

Answer:

Explanation:

Method 1: Factorization[class 9] taking common factors:

When each term of an expression has a common factor we divide each term by this and take it out as shown below:

Example: Factorise 9x2 + 12xy

Solution:

We write 9x2 + 12xy = (3x)(3x) + (3x)(4y)

Here 3x is the common to both the terms. Hence,

(3x)(3x) + (3x)(4y) = 3x(3x + 4y)

Thus, 3, x, (3x + 4y) are  the factors  of 9x2 + 12xy

Method 2: Factorization[class 9] by grouping:

Sometimes, in a given expression it is not possible to take out a common factor directly. However the terms of the given expression are grouped in such a manner that we have a common factor