Question

(45)³ - (65)³ + (20)³
please slove by step by step​

Answer 1

Here is your answer with step by step explanation.

Answer 2

Given,

$(45)^{3} -( 65)^{3} + (20)^{3}$

Now we have to solve this step by step,

From the given expression,

$45$ can be written as $9\times 5$

$65$ can be written as $13\times 5$

$20$ can be written as $4\times 5$

$(9\times5)^{3} -( 13\times5)^{3} + (4\times5)^{3}$

Here, we can separate the power.

We get,

$(9)^{3}\times(5)^{3} -( 13)^{3}\times(5)^{3} + (4)^{3}\times(5)^{3}$

We can take $5^{3}$ common from the above.

$(5)^{3}((9)^{3} -( 13)^{3} + (4)^{3})$------(1)

The value of $5^{3}$ is $125$

The value of $9^{3}$ is $729$

The value of $13^{3}$ is $2197$

The value of $4^{3}$ is $64$

Substitute these values in equation 1

We get,

$125(729-2197+64)$

$125(793-2197)$

$125(-1404)$

$-175500$

Therefore, the final answer after solving is $-175500$