Question

using appropriate identities factorise the following
(I) 125a^3 + 8b^3​

Answer 1

EXPLANATION.

⇒ 125a³ + 8b³.

As we know that,

We can write equation as,

⇒ 5 x 5 x 5 x (a)³ + 2 x 2 x 2 x (b)³.

⇒ (5a)³ + (2b)³.

As we know that,

Formula of :

⇒ (x³ + y³) = (x + y)(x² - xy + y²).

Using this formula in equation, we get.

⇒ (5a + 2b)[(5a)² - (5a)(2b) + (2b)²].

⇒ (5a + 2b)[25a² - 10ab + 4b²].

Answer 2

Answer:

$\red{ \boxed{\texttt{Answer}}}$

$\implies$ 125a³ + 8b³.

As we know that,

We can write equation as,

$\implies$ 5 x 5 x 5 x (a)³ + 2 x 2 x 2 x (b)³.

$\implies$ (5a)³ + (2b)³.

As we know that,

Formula of :

$\implies$ (x³ + y³) = (x + y)(x² - xy + y²).

Using this formula in equation, we get.

$\implies$ (5a + 2b)[(5a)² - (5a)(2b) + (2b)²].

$\implies$ (5a + 2b)[25a² - 10ab + 4b²].