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

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

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simplify 8a^2(x-2)^2((x-2)^2+2a-3a^3(x-2))

simplify

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

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

Solution steps

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

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

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

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

(1.331 \cdot 1 0^{27}) \cdot 1 0^{- 0.4} (1.45 - 4.83)

- 6 e^{- 3 (l n (7))}

e^{x} (e^{3 x} - e^{x})^{- \frac{1}{2}}

e^{- 2 (3.75)}

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