What is expand 6n^5(5n^2-7n+1) ?

The solution to expand 6n^5(5n^2-7n+1) is 30n^7-42n^6+6n^5

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expand 6n^5(5n^2-7n+1)

expand

6 n^{5} (5 n^{2} - 7 n + 1)

30 n^{7} - 42 n^{6} + 6 n^{5}

Solution steps

6 n^{5} (5 n^{2} - 7 n + 1)

Apply the distributive law:

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

6 n^{5} (5 n^{2} - 7 n + 1) = 6 n^{5} \cdot 5 n^{2} + 6 n^{5} (- 7 n) + 6 n^{5} \cdot 1

= 6 n^{5} \cdot 5 n^{2} + 6 n^{5} (- 7 n) + 6 n^{5} \cdot 1

Simplify

6 n^{5} \cdot 5 n^{2} + 6 n^{5} (- 7 n) + 6 n^{5} \cdot 1 : 30 n^{7} - 42 n^{6} + 6 n^{5}

= 30 n^{7} - 42 n^{6} + 6 n^{5}

(ab)^{n}

+ 3 - 5

+ 6 - 1

\frac{a}{6 - a}

\frac{4 ^{- 8}}{4 ^{- 4}}

What is expand 6n^5(5n^2-7n+1) ?
The solution to expand 6n^5(5n^2-7n+1) is 30n^7-42n^6+6n^5