What is expand (6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2) ?

The solution to expand (6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2) is 24a^8b^4-28a^7b^5+16a^6b^7

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expand (6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2)

expand

(6 a^{3} b^{2} - 7 a^{2} b^{3} + 4 a b^{5}) (4 a^{5} b^{2})

24 a^{8} b^{4} - 28 a^{7} b^{5} + 16 a^{6} b^{7}

Solution steps

(6 a^{3} b^{2} - 7 a^{2} b^{3} + 4 a b^{5}) (4 a^{5} b^{2})

= (4 a^{5} b^{2}) (6 a^{3} b^{2} - 7 a^{2} b^{3} + 4 a b^{5})

Apply the distributive law:

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

(4 a^{5} b^{2}) (6 a^{3} b^{2} - 7 a^{2} b^{3} + 4 a b^{5}) = 4 a^{5} b^{2} \cdot 6 a^{3} b^{2} + 4 a^{5} b^{2} (- 7 a^{2} b^{3}) + 4 a^{5} b^{2} \cdot 4 a b^{5}

= 4 a^{5} b^{2} \cdot 6 a^{3} b^{2} + 4 a^{5} b^{2} (- 7 a^{2} b^{3}) + 4 a^{5} b^{2} \cdot 4 a b^{5}

Simplify

4 a^{5} b^{2} \cdot 6 a^{3} b^{2} + 4 a^{5} b^{2} (- 7 a^{2} b^{3}) + 4 a^{5} b^{2} \cdot 4 a b^{5} : 24 a^{8} b^{4} - 28 a^{7} b^{5} + 16 a^{6} b^{7}

= 24 a^{8} b^{4} - 28 a^{7} b^{5} + 16 a^{6} b^{7}

t^{2} + t - 2

3 \frac{3}{2}

(- f + 10) (3 f - 1)

- x^{3} + 4 x^{2} - 5 x + 2

(x - 5) (x + 1) (x + 2)

What is expand (6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2) ?
The solution to expand (6a^3b^2-7a^2b^3+4ab^5)(4a^5b^2) is 24a^8b^4-28a^7b^5+16a^6b^7