Monicaa Abhijit Solutions for Chapter: Factorisation of Algebraic Expressions, Exercise 10: EXEMPLAR PROBLEMS

Factorized form of $23xy-46x+54y-108$ is:

Some of the factors of $\frac{n^2}{2}+\frac{n}{2}$ are, $\frac{1}{2},n$ and $\left(n+1\right)$.  

The value of $\left(a+1\right)\left(a-1\right)\left(a^2+1\right)$ is $a^4-1$.

Simplify the following.

${\left(1.5p+1.2q\right)}^2-{\left(1.5p-1.2q\right)}^2$

Simplify the following.

$\left(x^2-4\right)\left(x^2+4\right)+16$

Factorize the following.

$x^2=17x+60$

Factorize the following.

$x^2+\frac{1}{x^2}+2-3x-\frac{3}{x}$

Verify: ${\left(\frac{3p}{7}+\frac{7}{6p}\right)}^2-{\left(\frac{3}{7}p-\frac{7}{6p}\right)}^2=2$