What is the binomial expansion of (2x-3)^5
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Answer:
(2x)^5 - 15(2x)^4 + 90(2x)^3 - 270(2x)^2 + 405(2x) - 243
first option
Step-by-step explanation:
Exponent is 5 so the coefficients will be 6
Pascal's triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
So
(2x-3)^5
= 1 (2x)^5 + 5 (2x)^4 (-3) + 10(2x)^3 (-3)^2 + 10(2x)^2 (-3)^3 + 5(2x)(-3)^4 + 1 (-3)^5
= (2x)^5 - 15(2x)^4 + 90(2x)^3 - 270(2x)^2 + 405(2x) - 243