The binomial expansion of (y - 3)⁴ is B) y⁴ - 12y³ + 54y² - 108y + 81.
What is the binomial theorem?
The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.
An expression of two terms having a degree n can be represented as,
(a - b)ⁿ = [tex]^nC_na^n - ^nC_{n-1}a^{n-1}b+^{n}C_{n-2}a^{n-2}b^2+...(-1)^n\times^nC_0a^0b^n[/tex].
Given, (y - 3)⁴ = [tex]^4C_4y^4.3^0 - ^4C_3y^3.3 + ^4C_2y^23^2-^4C_1y.3^3+^4C_0y^03^4[/tex].
(y - 3)⁴ = y⁴ - 12y³ + 54y² - 108y + 81.
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