Question

faactories 27a³+125b³

Answer 1

Here, we can see that we can apply

x^3 + y^3 = (x + y) (x^2 - xy + y^2)
(3a) ^3 + (5b) ^3
= (3a + 5b) (9a^2 - 15ab + 25b^2).
Thanks.

Answer 2

27a³ + 125b³ = (3a + 5b)(9a² – 15ab + 25b²)

Given :

The expression 27a³ + 125b³

To find :

Factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

27a³ + 125b³

Step 2 of 2 :

Factorise the expression

27a³ + 125b³

$\sf = {(3a)}^{3} + {(5b)}^{3}$

$\sf = (3a + 5b) \{ \: {(3a)}^{2} - 3a.5b + {(5b)}^{2} \}$

= (3a + 5b)(9a² – 15ab + 25b²)