Expand and simplify the following expression: (𝑔−3)2(g−3) 2
Question
Expand and simplify the following expression: (𝑔−3)2(g−3) 2
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Solution
To expand and simplify the expression (g-3)^2, follow these steps:
Step 1: Recognize that (g-3)^2 is the same as (g-3)*(g-3).
Step 2: Use the FOIL method (First, Outer, Inner, Last) to expand the expression:
First: g * g = g^2 Outer: g * -3 = -3g Inner: -3 * g = -3g Last: -3 * -3 = 9
Step 3: Combine like terms:
g^2 - 3g - 3g + 9 = g^2 - 6g + 9
So, the expanded and simplified form of (g-3)^2 is g^2 - 6g + 9.
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