manco6
10.01.2020 •
Mathematics
Which graph represents the function f(x) = (x-3)2
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Ответ:
The solution to each of the question takes different approach, as the questions are taken from different concepts; however, a common operation among all questions, is factorization.
Expand
Rewrite as:
Apply law of indices
Expand
Apply negative power rule of indices
Expand
Expand
Evaluate like terms
Factor out x^2
Factor out -2
Divide by y
Split
Rationalize
Rationalize
Apply difference of two squares to the denominator
Simplify
Expand
Split
Evaluate all roots
Expand
Factorize each
Factor out (r+3) in the numerator and (r + 6) in the denominator
Cancel out r - 2
Cancel out x
Expand the numerator of the 2nd fraction
Factorize
Factor out x - 7
Factor out 4 from 4x + 8
Cancel out x + 2
Factorize
Cancel out 3x
Take LCM
Expand
Rewrite as:
Express as multiplication
Express y^2 - 9 as y^2 - 3^2
Express as difference of two squares
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