What is expand ,5b^8(3ab^4+4ab^4-b^4) ?

The solution to expand ,5b^8(3ab^4+4ab^4-b^4) is 35b^{12}a-5b^{12}

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expand ,5b^8(3ab^4+4ab^4-b^4)

expand

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

35 b^{12} a - 5 b^{12}

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

5 b^{8} \cdot 3 a b^{4} + 5 b^{8} \cdot 4 a b^{4} + 5 b^{8} (- b^{4}) : 35 b^{12} a - 5 b^{12}

= 35 b^{12} a - 5 b^{12}

4 (- 19)

\frac{( 3 x ^{3} - 4 ) ^{5}}{3}

\frac{s}{( s ^{2} + 10 s + 29 ) ^{2}}

\frac{x ^{3} - 2 x ^{2}}{( x - 1 ) ^{3}}

a \cdot f [b (x + c)] + d

What is expand ,5b^8(3ab^4+4ab^4-b^4) ?
The solution to expand ,5b^8(3ab^4+4ab^4-b^4) is 35b^{12}a-5b^{12}