What is 3(x-2)(4-3x)^2(25-x^2)^2 ?

The solution to 3(x-2)(4-3x)^2(25-x^2)^2 is 3(x-2)(-3x+4)^2(-x^2+25)^2

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simplify 3(x-2)(4-3x)^2(25-x^2)^2

simplify

3 (x - 2) (4 - 3 x)^{2} (25 - x^{2})^{2}

3 (x - 2) (- 3 x + 4)^{2} (- x^{2} + 25)^{2}

Solution steps

3 (x - 2) (4 - 3 x)^{2} (25 - x^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- 3 x + 4)^{2} (- x^{2} + 25)^{2} = ((- 3 x + 4) (- x^{2} + 25))^{2}

= 3 (x - 2) ((- 3 x + 4) (- x^{2} + 25))^{2}

((4 - 3 x) (25 - x^{2}))^{2} = (4 - 3 x)^{2} (25 - x^{2})^{2}

= 3 (x - 2) (- 3 x + 4)^{2} (- x^{2} + 25)^{2}

\frac{2}{s ^{3}} e^{- 5 s}

2 t (2 t^{2})

6200 (1.041)^{- 6}

e^{- x} (e^{3 x} + 6)

41 \cdot 1 0^{- 3} \cdot 9.81

What is 3(x-2)(4-3x)^2(25-x^2)^2 ?
The solution to 3(x-2)(4-3x)^2(25-x^2)^2 is 3(x-2)(-3x+4)^2(-x^2+25)^2