Question
how to expand (e^2x -1)^2
Answers
Answered by
GPT 3.5
To expand (e^(2x) - 1)^2, you can use the FOIL method along with some exponent rules.
Step 1: Apply the exponent rule for squaring. Square both terms inside the parentheses separately.
(e^(2x))^2 - 2(e^(2x))(1) + (1)^2
Step 2: Simplify each term.
e^(4x) - 2e^(2x) + 1
Therefore, the expansion of (e^(2x) - 1)^2 is e^(4x) - 2e^(2x) + 1.
Step 1: Apply the exponent rule for squaring. Square both terms inside the parentheses separately.
(e^(2x))^2 - 2(e^(2x))(1) + (1)^2
Step 2: Simplify each term.
e^(4x) - 2e^(2x) + 1
Therefore, the expansion of (e^(2x) - 1)^2 is e^(4x) - 2e^(2x) + 1.
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