What is (-3a^2b^2)(4a^5b^3)^3 ?

The solution to (-3a^2b^2)(4a^5b^3)^3 is -192a^{17}b^{11}

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simplify (-3a^2b^2)(4a^5b^3)^3

simplify

(- 3 a^{2} b^{2}) (4 a^{5} b^{3})^{3}

- 192 a^{17} b^{11}

Solution steps

(- 3 a^{2} b^{2}) (4 a^{5} b^{3})^{3}

Apply rule:

(- a) = - a

(- 3 a^{2} b^{2}) = - 3 a^{2} b^{2}

= - 3 a^{2} b^{2} (4 a^{5} b^{3})^{3}

Simplify

(4 a^{5} b^{3})^{3} : 64 a^{15} b^{9}

= - 3 a^{2} b^{2} \cdot 64 a^{15} b^{9}

Multiply the numbers:

- 3 \cdot 64 = - 192

= - 192 a^{2} b^{2} a^{15} b^{9}

Simplify

a^{2} a^{15} : a^{17}

= - 192 a^{17} b^{2} b^{9}

Simplify

b^{2} b^{9} : b^{11}

= - 192 a^{17} b^{11}

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(a - b)^{3} - (a + b)^{3}

What is (-3a^2b^2)(4a^5b^3)^3 ?
The solution to (-3a^2b^2)(4a^5b^3)^3 is -192a^{17}b^{11}