M L Aggarwal Solutions for Chapter: Factorisation, Exercise 1: Exercise

Factorise the following polynomial:

$ab\left(x^2+y^2\right)-xy\left(a^2+b^2\right)$

Factorise the following polynomial:

$(ax+by{)}^2+(bx-ay{)}^2$

Factorise the following polynomial:

$a^3+ab(1-2a)-2b^2$

Factorise the following polynomial:

$3x^{2}y-3xy+12x-12$

Factorise the following polynomial:

$a^{2}b+a{b}^2-abc-b^{2}c+axy+bxy$

Factorise the following polynomial:

$a{x}^2-b{x}^2+a{y}^2-b{y}^2+a{z}^2-b{z}^2$

Factorise the following polynomials:

$x-1-(x-1{)}^2+ax-a$

Factorise the following polynomials:

$ax+a^{2}x+aby+by-(ax+by{)}^2$