What is (3a^2b^3-7ab+9b^3)-(10b^3-5a^2b^3+24ab) ?

The solution to (3a^2b^3-7ab+9b^3)-(10b^3-5a^2b^3+24ab) is 8a^2b^3-31ab-b^3

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simplify (3a^2b^3-7ab+9b^3)-(10b^3-5a^2b^3+24ab)

simplify

(3 a^{2} b^{3} - 7 ab + 9 b^{3}) - (10 b^{3} - 5 a^{2} b^{3} + 24 ab)

8 a^{2} b^{3} - 31 ab - b^{3}

Solution steps

(3 a^{2} b^{3} - 7 ab + 9 b^{3}) - (10 b^{3} - 5 a^{2} b^{3} + 24 ab)

Apply rule:

(a) = a

(3 a^{2} b^{3} - 7 ab + 9 b^{3}) = 3 a^{2} b^{3} - 7 ab + 9 b^{3}

= 3 a^{2} b^{3} - 7 ab + 9 b^{3} - (10 b^{3} - 5 a^{2} b^{3} + 24 ab)

Apply the distributive law:

- (a - b) = - a + b

- (10 b^{3} - 5 a^{2} b^{3} + 24 ab) = - 10 b^{3} + 5 a^{2} b^{3} - 24 ab

= 3 a^{2} b^{3} - 7 ab + 9 b^{3} - 10 b^{3} + 5 a^{2} b^{3} - 24 ab

Add similar elements:

9 b^{3} - 10 b^{3} = - b^{3}

= 3 a^{2} b^{3} - 7 ab - b^{3} + 5 a^{2} b^{3} - 24 ab

Group like terms

= 3 a^{2} b^{3} + 5 a^{2} b^{3} - 7 ab - 24 ab - b^{3}

Add similar elements:

3 a^{2} b^{3} + 5 a^{2} b^{3} = 8 a^{2} b^{3}

= 8 a^{2} b^{3} - 7 ab - 24 ab - b^{3}

Add similar elements:

- 7 ab - 24 ab = - 31 ab

= 8 a^{2} b^{3} - 31 ab - b^{3}

\frac{54}{18}

\frac{5}{2 - 3}

\frac{n}{n}

(x + 1) \cdot (x + 2)

lo g_{10} (\frac{5}{2})

What is (3a^2b^3-7ab+9b^3)-(10b^3-5a^2b^3+24ab) ?
The solution to (3a^2b^3-7ab+9b^3)-(10b^3-5a^2b^3+24ab) is 8a^2b^3-31ab-b^3