What is expand 9p^3q^4(3p^3-5q) ?

The solution to expand 9p^3q^4(3p^3-5q) is 27p^6q^4-45p^3q^5

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expand 9p^3q^4(3p^3-5q)

expand

9 p^{3} q^{4} (3 p^{3} - 5 q)

27 p^{6} q^{4} - 45 p^{3} q^{5}

Solution steps

9 p^{3} q^{4} (3 p^{3} - 5 q)

Apply the distributive law:

a (b - c) = ab - a c

9 p^{3} q^{4} (3 p^{3} - 5 q) = 9 p^{3} q^{4} \cdot 3 p^{3} - 9 p^{3} q^{4} \cdot 5 q

= 9 p^{3} q^{4} \cdot 3 p^{3} - 9 p^{3} q^{4} \cdot 5 q

Simplify

9 p^{3} q^{4} \cdot 3 p^{3} - 9 p^{3} q^{4} \cdot 5 q : 27 p^{6} q^{4} - 45 p^{3} q^{5}

= 27 p^{6} q^{4} - 45 p^{3} q^{5}

\frac{2}{x} + 3

100 x^{4} - 49 y^{2}

121 y^{2} - x^{4}

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

5 a^{2} + b - 2 a^{2}

What is expand 9p^3q^4(3p^3-5q) ?
The solution to expand 9p^3q^4(3p^3-5q) is 27p^6q^4-45p^3q^5