What is (x-3)(x-1)^2(x+2)^2 ?

The solution to (x-3)(x-1)^2(x+2)^2 is (x-1)^2(x+2)^2(x-3)

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simplify (x-3)(x-1)^2(x+2)^2

simplify

(x - 3) (x - 1)^{2} (x + 2)^{2}

(x - 1)^{2} (x + 2)^{2} (x - 3)

Solution steps

(x - 3) (x - 1)^{2} (x + 2)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(x - 1)^{2} (x + 2)^{2} = ((x - 1) (x + 2))^{2}

= (x - 3) ((x - 1) (x + 2))^{2}

((x - 1) (x + 2))^{2} = (x - 1)^{2} (x + 2)^{2}

= (x - 3) (x - 1)^{2} (x + 2)^{2}

(4 + x) (4 + x)

- lo g_{10} (3.82) 1 0^{- 4}

(x^{2} - 9 x + 18)^{3 x + 4} (x^{2} - 9 x + 18)^{4 x + 3}

(100 - 1 0^{16}) \cdot (188.5 \cdot 1 0^{- 5})

What is (x-3)(x-1)^2(x+2)^2 ?
The solution to (x-3)(x-1)^2(x+2)^2 is (x-1)^2(x+2)^2(x-3)