Monica Capoor Solutions for Chapter: Factorisation, Exercise 3: EXERCISE

The greatest common factor of the given monomials$14x^3{y}^3$, $21x^5{y}^2$, $35x^6{y}^6$ is $k{x}^3{y}^2$.  Find the value of $k$.

On factorising $2x^4-x^3+4x-2$ we get $\left(2x-k\right)\left(x^3+2\right)$, find the value of $k$.

On factorising $x^3-2x{y}^2-4y^3+2x^{2}y$ we get $\left(x+ky\right)\left(x^2-2y^2\right)$, find the value of $k$.

Factorise the given expression.

$axy+bcxy-az-bcz$

Factorise the given expression.

$2a{x}^2+3axy-2bxy-3b{y}^2$

Factorise the following expressions.

$ax+bx-ay-by+az+bz$

Factorise the given expressions.

$ax-bx+by+cy-cx-ay$

Factorising the following expression ${\left(ax+by\right)}^2-{\left(bx+ay\right)}^2$ we get $\left(x^2-y^k\right)\left(a^2-b^2\right)$, find the value of $k$.