What is 8a^2(x-2)^2(6a^3+x^2-4x+2a-3xa^3+4) ?

The solution to 8a^2(x-2)^2(6a^3+x^2-4x+2a-3xa^3+4) is 8a^2(x-2)^2(x^2-4x-3a^3x+6a^3+2a+4)

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simplify 8a^2(x-2)^2(6a^3+x^2-4x+2a-3xa^3+4)

simplify

8 a^{2} (x - 2)^{2} (6 a^{3} + x^{2} - 4 x + 2 a - 3 x a^{3} + 4)

8 a^{2} (x - 2)^{2} (x^{2} - 4 x - 3 a^{3} x + 6 a^{3} + 2 a + 4)

Solution steps

8 a^{2} (x - 2)^{2} (6 a^{3} + x^{2} - 4 x + 2 a - 3 x a^{3} + 4)

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

a^{2} (x - 2)^{2} = (a (x - 2))^{2}

= 8 (a (x - 2))^{2} (x^{2} - 4 x - 3 a^{3} x + 6 a^{3} + 2 a + 4)

(a (x - 2))^{2} = a^{2} (x - 2)^{2}

= 8 a^{2} (x - 2)^{2} (x^{2} - 4 x - 3 a^{3} x + 6 a^{3} + 2 a + 4)

L^{(- 1)} {t sin (k t)}

e^{- 0.000001}

- 18 x^{2} (2 x^{3} - 1)^{2} (x^{2} + 4)^{2}

0.1875 x^{2} (\frac{2}{3} x)

What is 8a^2(x-2)^2(6a^3+x^2-4x+2a-3xa^3+4) ?
The solution to 8a^2(x-2)^2(6a^3+x^2-4x+2a-3xa^3+4) is 8a^2(x-2)^2(x^2-4x-3a^3x+6a^3+2a+4)