What is (ax^3)(ax^3+bx^2+cx)^3 ?

The solution to (ax^3)(ax^3+bx^2+cx)^3 is ax^3(ax^3+bx^2+cx)^3

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simplify (ax^3)(ax^3+bx^2+cx)^3

simplify

(a x^{3}) (a x^{3} + b x^{2} + c x)^{3}

a x^{3} (a x^{3} + b x^{2} + c x)^{3}

Solution steps

(a x^{3}) (a x^{3} + b x^{2} + c x)^{3}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{3} (a x^{3} + b x^{2} + c x)^{3} = (x (a x^{3} + b x^{2} + c x))^{3}

= a (x (a x^{3} + b x^{2} + c x))^{3}

(x (a x^{3} + b x^{2} + c x))^{3} = x^{3} (a x^{3} + b x^{2} + c x)^{3}

= a x^{3} (a x^{3} + b x^{2} + c x)^{3}

x e^{- y + 2}

\frac{( 0.2 ) ^{- 1}}{( 0.4 ) ^{- 1}}

e^{- t} \cdot cos (t)

100 e^{- 0.0389 (0)}

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

What is (ax^3)(ax^3+bx^2+cx)^3 ?
The solution to (ax^3)(ax^3+bx^2+cx)^3 is ax^3(ax^3+bx^2+cx)^3