Question:
Expand the expression \((1- 2x)^ 5\).
Expand the expression \((1- 2x)^ 5\).
Updated On: Oct 25, 2023
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Solution and Explanation
By using Bionomial Theorem, the expression \((1-2x)^5\) can be expanded as
\((1-2x)^5\)
= \( ^5C_0 (1)^5 - ^5C_1 (1)^4 (2x) + ^5C_2 (1)^3 (2x)^2 - ^5C_3 (1)^2 (2x)^3 + ^5C_4 (1)1 (2x)^4 - ^5C_5 (2x)^5\)
=\(1-5(2x)+10(4x^2)-10(8x^3)+5(16x^4)-(32x^5)\)
=\(1-10x+40x^2-80x^3+80x^4-32x^5\)
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