Question

What is the answer for the algebra .... 2 ( a²b)³=

Answer 1

Given: The correct term is 250 ( a - b )³ + 2.

To find: The factorisation for the algebra given?

Solution:

• Now we have given the term as:  250 ( a - b )³ + 2

• Taking 2 common, we get:

               2 { 125 ( a - b )³ + 1 }

• Now we can write 125 as 5³, we get:

               2 { 5³( a - b )³ + 1 }

• Now combining 5³ and (a - b)³, we get:

               2 { ( 5a - 5b )³ + 1³ }

• Now solving further we get:

              2 (5a - 5b + 1) { (5a - 5b)² - (5a - 5b) x 1 + 1² }

              2 (5a - 5b + 1) (25a² - 50ab + 25b² - 5a + 5b + 1)

• So this is the required factorisation.

Answer:

                   So the factorisation of 250 ( a - b )³ + 2 is  

2 (5a - 5b + 1) (25a² - 50ab + 25b² - 5a + 5b + 1)

Answer 2

Given:

$2(a^{2} b)^{3}$

To Find:

The value of $2(a^{2}b)^{3}$ = ?

Solution:

Solve the bracket of the above given expression.

$\Rightarrow 2\left( {{a^6}{b^3}} \right)$

Simplify the obtained expression.

$\Rightarrow 2{a^6}{b^3}$

So, that the value of $2(a^{2} b)^{3}$ will be $2{a^6}{b^3}$.