9514 1404 393
Answer:
y = 5x² -30x +39
Explanation:
Multiply it out and collect terms.
y = 5(x -3)² -6
y = 5(x² -6x +9) -6 . . . . . expand the square
y = 5x² -30x +45 -6 . . . . use the distributive property
y = 5x² -30x +39 . . . . . . collect terms
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The expansion of a binomial square is ...
(a +b)² = a² + 2ab + b²
In this problem, we have a=x, b=-3.