(x+3)(x-5)(3x-1) expand and simplify

asked by guest
on Mar 14, 2025 at 7:12 am



You asked:

Simplify the expression: (x+3)(x−5)(3x−1)\left(x + 3\right) \left(x - 5\right) \left(3 x - 1\right)

MathBot Answer:

Simplified:

(x+3)(x−5)(3x−1)=(3x−1)(x−5)(x+3) \left(x + 3\right) \left(x - 5\right) \left(3 x - 1\right) = \left(3 x - 1\right) \left(x - 5\right) \left(x + 3\right)

(3x−1)(x−5)(x+3)=3x3−7x2−43x+15=(3x−1)(x−5)(x+3)\begin{aligned}\left(3 x - 1\right) \left(x - 5\right) \left(x + 3\right)&=3 x^{3} - 7 x^{2} - 43 x + 15\\&=\left(3 x - 1\right) \left(x - 5\right) \left(x + 3\right)\end{aligned}

Expanded:

(x+3)(x−5)(3x−1)=3x3−7x2−43x+15 \left(x + 3\right) \left(x - 5\right) \left(3 x - 1\right) = 3 x^{3} - 7 x^{2} - 43 x + 15

Factored:

(x+3)(x−5)(3x−1)=(3x−1)(x−5)(x+3) \left(x + 3\right) \left(x - 5\right) \left(3 x - 1\right) = \left(3 x - 1\right) \left(x - 5\right) \left(x + 3\right)


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