What is (25a^2b-8ab^2-b^3)-(a^3-9a^2b-b^3) ?

The solution to (25a^2b-8ab^2-b^3)-(a^3-9a^2b-b^3) is 34a^2b-8ab^2-a^3

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simplify (25a^2b-8ab^2-b^3)-(a^3-9a^2b-b^3)

simplify

(25 a^{2} b - 8 a b^{2} - b^{3}) - (a^{3} - 9 a^{2} b - b^{3})

34 a^{2} b - 8 a b^{2} - a^{3}

Solution steps

(25 a^{2} b - 8 a b^{2} - b^{3}) - (a^{3} - 9 a^{2} b - b^{3})

Apply rule:

(a) = a

(25 a^{2} b - 8 a b^{2} - b^{3}) = 25 a^{2} b - 8 a b^{2} - b^{3}

= 25 a^{2} b - 8 a b^{2} - b^{3} - (a^{3} - 9 a^{2} b - b^{3})

Apply the distributive law:

- (a - b) = - a + b

- (a^{3} - 9 a^{2} b - b^{3}) = - a^{3} + 9 a^{2} b + b^{3}

= 25 a^{2} b - 8 a b^{2} - b^{3} - a^{3} + 9 a^{2} b + b^{3}

Group like terms

= 25 a^{2} b + 9 a^{2} b - 8 a b^{2} - b^{3} + b^{3} - a^{3}

Add similar elements:

25 a^{2} b + 9 a^{2} b = 34 a^{2} b

= 34 a^{2} b - 8 a b^{2} - b^{3} + b^{3} - a^{3}

Add similar elements:

- b^{3} + b^{3} = 0

= 34 a^{2} b - 8 a b^{2} - a^{3}

3. 5^{3}

(\frac{5}{7} a^{2} + \frac{1}{8} n)^{2}

(\frac{5}{10})^{2}

2 x^{2} x^{2}

0.00 5^{2}

What is (25a^2b-8ab^2-b^3)-(a^3-9a^2b-b^3) ?
The solution to (25a^2b-8ab^2-b^3)-(a^3-9a^2b-b^3) is 34a^2b-8ab^2-a^3