What is (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2) ?

The solution to (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2) is -4a^2-3ab

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simplify (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2)

simplify

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

- 4 a^{2} - 3 ab

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

- a^{2} - 3 a^{2} = - 4 a^{2}

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

Add similar elements:

- 5 ab + 2 ab = - 3 ab

= - 4 a^{2} - 3 ab + 3 b^{2} - 3 b^{2}

Add similar elements:

3 b^{2} - 3 b^{2} = 0

= - 4 a^{2} - 3 ab

\frac{1}{2} \cdot \frac{3}{4}

3 a^{2} b^{2} - 6 a^{2} b

43 \cdot 4

x^{2} + 6 x + 1 = 0

24 x^{2} - 12 x = 0

What is (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2) ?
The solution to (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2) is -4a^2-3ab