What is 5(a^5b^4-3a^4b^3-8a^3b^2) ?

The solution to 5(a^5b^4-3a^4b^3-8a^3b^2) is 5a^5b^4-15a^4b^3-40a^3b^2

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simplify 5(a^5b^4-3a^4b^3-8a^3b^2)

simplify

5 (a^{5} b^{4} - 3 a^{4} b^{3} - 8 a^{3} b^{2})

5 a^{5} b^{4} - 15 a^{4} b^{3} - 40 a^{3} b^{2}

Solution steps

5 (a^{5} b^{4} - 3 a^{4} b^{3} - 8 a^{3} b^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

5 (a^{5} b^{4} - 3 a^{4} b^{3} - 8 a^{3} b^{2}) = 5 a^{5} b^{4} + 5 (- 3 a^{4} b^{3}) + 5 (- 8 a^{3} b^{2})

= 5 a^{5} b^{4} + 5 (- 3 a^{4} b^{3}) + 5 (- 8 a^{3} b^{2})

Simplify

5 a^{5} b^{4} + 5 (- 3 a^{4} b^{3}) + 5 (- 8 a^{3} b^{2}) : 5 a^{5} b^{4} - 15 a^{4} b^{3} - 40 a^{3} b^{2}

= 5 a^{5} b^{4} - 15 a^{4} b^{3} - 40 a^{3} b^{2}

225 a^{2} - 144 b^{2}

(0.2)^{5}

- \frac{4}{5}

\frac{3 3}{6}

- \frac{1}{2} x

What is 5(a^5b^4-3a^4b^3-8a^3b^2) ?
The solution to 5(a^5b^4-3a^4b^3-8a^3b^2) is 5a^5b^4-15a^4b^3-40a^3b^2