What is (2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b) ?

The solution to (2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b) is -12b^3+9a^2b-4a^4b^2

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simplify (2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b)

simplify

(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)

- 12 b^{3} + 9 a^{2} b - 4 a^{4} b^{2}

Solution steps

(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)

Apply rule:

(a) = a

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

= 2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2} - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)

Apply the distributive law:

- (a + b) = - a - b

- (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b) = - 7 b^{3} - 8 a^{4} b^{2} + 7 a^{2} b

= 2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2} - 7 b^{3} - 8 a^{4} b^{2} + 7 a^{2} b

Group like terms

= - 5 b^{3} - 7 b^{3} + 2 a^{2} b + 7 a^{2} b + 4 a^{4} b^{2} - 8 a^{4} b^{2}

Add similar elements:

- 5 b^{3} - 7 b^{3} = - 12 b^{3}

= - 12 b^{3} + 2 a^{2} b + 7 a^{2} b + 4 a^{4} b^{2} - 8 a^{4} b^{2}

Add similar elements:

2 a^{2} b + 7 a^{2} b = 9 a^{2} b

= - 12 b^{3} + 9 a^{2} b + 4 a^{4} b^{2} - 8 a^{4} b^{2}

Add similar elements:

4 a^{4} b^{2} - 8 a^{4} b^{2} = - 4 a^{4} b^{2}

= - 12 b^{3} + 9 a^{2} b - 4 a^{4} b^{2}

0.25 b - 0.4 b + 0.2 b

(3 - 2 x)^{5}

0.3 a + 0.4 b + 0.5 c - 0.6 a - 0.7 b - 0.9 c + 3 a - 3 b - 3 c

- 10 - 9

What is (2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b) ?
The solution to (2a^2b-5b^3+4a^4b^2)-(7b^3+8a^4b^2-7a^2b) is -12b^3+9a^2b-4a^4b^2