Question

How do you get from 7 * 7^n - 3 * 3^n to 3(7^n - 3^n) + 4*7^n? This was part of the teacher's example of mathematical induction. She tried to explain this part with

Answer 1

She tried to explain it with 7x - 3y = 3(x - y) + 4x.

I'm just confused about the reasoning behind putting it in this form

Answer 2

when writing * r u multiplying or is it an exponent?

Answer 3

multiplying

\[7 \times 7^n - 3 \times 3^n\]