Question

Factorise: 3x^5y^3+24x^2​

Answer 1

Answer:

The answer is $3x^2(xy+2)(x^2y^2-2xy+4)$

Step-by-step explanation:

Given expression

  $3x^5y^3+24x^2$

$=3x^2(x^3y^3)+3x^2(8)$

$=3x^2(x^3y^3+8)$, factor out common

$=3x^2[(xy)^3+2^3]$, write the second expression in $a^3+b^3$ form

$=3x^2(xy+2)[(xy)^2-(xy)(2)+2^2]$, using $a^3+b^3=(a+b)(a^2-ab+b^2)$

$=3x^2(xy+2)(x^2y^2-2xy+4)$