Question

5⋅(5)2n+3−(25)n+15⋅(25)n+1−25⋅(5)2n​

Answer 1

Answer:

150n+4

Step-by-step explanation:

5.(5)2n+3-(25)n+15.(25)n+1-25.(5)2n

=50n+3-25n+375n+1-250n

=25n+125n+4

=150n+4

Answer 2

From the given question the correct answer is:

the answer is 2(75n+2).

Given:

5⋅(5)2n+3−(25)n+15⋅(25)n+1−25⋅(5)2n​

To find :

5⋅(5)2n+3−(25)n+15⋅(25)n+1−25⋅(5)2n​=?

Solution:

we have to simplify the following expression

so, we will simplify it step by step

5×(5)2n+3−(25)n+15×(25)n+1−25×(5)2n

=50n+3-25n+375n+1-250n

=25n+125n+4

=150n+4

take out the 2 commons we get

=2(75n+2)

Hence, the answer is 2(75n+2).