Question

Use substitution to compose y=6u^2 and u=5x−1. Enter your answer as an equation, and simplify your answer as much as possible.

Answer 1

y = 150x^2 -60x +6

Explanation:

Do what the problem statement tells you: substitute for u.

y = 6u^2

y = 6(5x -1)^2 . . . . . . . . . . substitute 5x-1 for u

y = 6(25x^2 -10x +1) . . . . expand the square

y = 150x^2 -60x +6 . . . use the distributive property