What is expand (5x^3-6x^4)10x^2 ?

The solution to expand (5x^3-6x^4)10x^2 is 50x^5-60x^6

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expand (5x^3-6x^4)10x^2

expand

(5 x^{3} - 6 x^{4}) 10 x^{2}

50 x^{5} - 60 x^{6}

Solution steps

(5 x^{3} - 6 x^{4}) \cdot 10 x^{2}

= 10 x^{2} (5 x^{3} - 6 x^{4})

Apply the distributive law:

a (b - c) = ab - a c

10 x^{2} (5 x^{3} - 6 x^{4}) = 10 x^{2} \cdot 5 x^{3} - 10 x^{2} \cdot 6 x^{4}

= 10 x^{2} \cdot 5 x^{3} - 10 x^{2} \cdot 6 x^{4}

Simplify

10 x^{2} \cdot 5 x^{3} - 10 x^{2} \cdot 6 x^{4} : 50 x^{5} - 60 x^{6}

= 50 x^{5} - 60 x^{6}

\frac{7}{18} \div \frac{14}{27}

2 x^{- \frac{3}{2}}

62 - 43 - 38 + 133

x^{3} - x^{2} - 3 x + 2

38 - - 200 + 121

What is expand (5x^3-6x^4)10x^2 ?
The solution to expand (5x^3-6x^4)10x^2 is 50x^5-60x^6