4(x-5)² + 12(x-5)

me out i am so confused

The simplified expression is:

= 4(x-5)(x-2)

Step-by-step explanation:

Given that:

=4(x-5)² + 12(x-5)

By simplifying we get

= 4(x^2 -10x + 25) + 12x - 60

= 4x^2 - 40x + 100 + 12x - 60

Adding like terms:

= 4x^2 -28x  + 40

=4(x^2-7x+10)

=4(x^2-2x-5x+10)

=4(x(x-2)-5(x-2))

By taking common we get:

= 4(x-5)(x-2)

This is the simplified expression.

I hope it will help you!

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.