West Bengal Board Solutions for Chapter: Cubes, Exercise 6: Exercise 6

If the product of $\left(x^2+y^2\right)\left(x^4-x^2{y}^2+y^4\right)$ is equal to $x^6+y^k$, then find the value of $k$.

Factorize the following:

$x^3+125$

Factorize the following:

$p^3{q}^3+1$

Factorize the following:

$8y^3+125z^3$

Factorize the following:

$64l^3-343$

Factorize the following:

${\left(x+2\right)}^3-{\left(x-2\right)}^3$

Factorize the following:

$8m^3+12m^{2}n+6m{n}^2+2n^3$

Factorize the following:

$a^3-9b^3+{\left(a+b\right)}^3$