What is (3a^3-2a^2)-(5a^3-a^2) ?

The solution to (3a^3-2a^2)-(5a^3-a^2) is -2a^3-a^2

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simplify (3a^3-2a^2)-(5a^3-a^2)

simplify

(3 a^{3} - 2 a^{2}) - (5 a^{3} - a^{2})

- 2 a^{3} - a^{2}

Solution steps

(3 a^{3} - 2 a^{2}) - (5 a^{3} - a^{2})

Apply rule:

(a) = a

(3 a^{3} - 2 a^{2}) = 3 a^{3} - 2 a^{2}

= 3 a^{3} - 2 a^{2} - (5 a^{3} - a^{2})

Apply the distributive law:

- (a - b) = - a + b

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

= 3 a^{3} - 2 a^{2} - 5 a^{3} + a^{2}

Group like terms

= 3 a^{3} - 5 a^{3} - 2 a^{2} + a^{2}

Add similar elements:

3 a^{3} - 5 a^{3} = - 2 a^{3}

= - 2 a^{3} - 2 a^{2} + a^{2}

Add similar elements:

- 2 a^{2} + a^{2} = - a^{2}

= - 2 a^{3} - a^{2}

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100 - 64

6 x^{3} y^{2} - 10 x y^{3} + 18 x^{2} y

y^{4} + x y

What is (3a^3-2a^2)-(5a^3-a^2) ?
The solution to (3a^3-2a^2)-(5a^3-a^2) is -2a^3-a^2