Factorize each of the following expressions:$8x^2y^3 - x^5$

Given:

$8x^2y^3 - x^5$

To do:

We have to factorize the given expression.

Solution:

We know that,

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

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

Therefore,

$8x^2y^3 - x^5 = x^2(8y^3 - x^3)$

$= x^2[(2y)^3 - (x)^3]$

$= x^2[(2y - x) (2y)^2 + 2y \times x + (x)^2]$

$= x^2(2y - x) (4y^2 + 2xy + x^2)$

Hence, $8x^2y^3 - x^5 = x^2(2y - x) (4y^2 + 2xy + x^2)$.

Tutorialspoint

e

Updated on: 10-Oct-2022

29 Views

Kickstart Your Career

Get certified by completing the course

Get Started