What is λ^2(λ-3)(λ+2)^3(λ-4)^3 ?

The solution to λ^2(λ-3)(λ+2)^3(λ-4)^3 is λ^2(λ+2)^3(λ-4)^3(λ-3)

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simplify λ^2(λ-3)(λ+2)^3(λ-4)^3

simplify

λ^{2} (λ - 3) (λ + 2)^{3} (λ - 4)^{3}

λ^{2} (λ + 2)^{3} (λ - 4)^{3} (λ - 3)

Solution steps

λ^{2} (λ - 3) (λ + 2)^{3} (λ - 4)^{3}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(λ + 2)^{3} (λ - 4)^{3} = ((λ + 2) (λ - 4))^{3}

= λ^{2} (λ - 3) ((λ + 2) (λ - 4))^{3}

((λ + 2) (λ - 4))^{3} = (λ + 2)^{3} (λ - 4)^{3}

= λ^{2} (λ - 3) (λ + 2)^{3} (λ - 4)^{3}

(4 x^{2}) \cdot (5 x^{6})

\frac{1}{6} e^{- 6 (2)}

3.7 \cdot 1 0^{- 5} (4.48)

\frac{e ^{\frac{1}{2} x}}{e ^{x}}

e^{t^{\frac{1}{2}}} e^{- r t}

What is λ^2(λ-3)(λ+2)^3(λ-4)^3 ?
The solution to λ^2(λ-3)(λ+2)^3(λ-4)^3 is λ^2(λ+2)^3(λ-4)^3(λ-3)