What is (3a^2-3bc^2)-(-8a^2+5bc)+(-6bc^2-a^2) ?

The solution to (3a^2-3bc^2)-(-8a^2+5bc)+(-6bc^2-a^2) is 10a^2-5bc-9bc^2

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simplify (3a^2-3bc^2)-(-8a^2+5bc)+(-6bc^2-a^2)

simplify

(3 a^{2} - 3 b c^{2}) - (- 8 a^{2} + 5 b c) + (- 6 b c^{2} - a^{2})

10 a^{2} - 5 b c - 9 b c^{2}

Solution steps

(3 a^{2} - 3 b c^{2}) - (- 8 a^{2} + 5 b c) + (- 6 b c^{2} - a^{2})

Simplify

(3 a^{2} - 3 b c^{2}) - (- 8 a^{2} + 5 b c) + (- 6 b c^{2} - a^{2}) : 3 a^{2} - 3 b c^{2} - (- 8 a^{2} + 5 b c) - 6 b c^{2} - a^{2}

= 3 a^{2} - 3 b c^{2} - (- 8 a^{2} + 5 b c) - 6 b c^{2} - a^{2}

Group like terms

= - (- 8 a^{2} + 5 b c) + 3 a^{2} - a^{2} - 3 b c^{2} - 6 b c^{2}

Add similar elements:

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

= - (- 8 a^{2} + 5 b c) + 2 a^{2} - 3 b c^{2} - 6 b c^{2}

Add similar elements:

- 3 b c^{2} - 6 b c^{2} = - 9 b c^{2}

= - (- 8 a^{2} + 5 b c) + 2 a^{2} - 9 b c^{2}

Apply the distributive law:

- (- a + b) = a - b

- (- 8 a^{2} + 5 b c) = 8 a^{2} - 5 b c

= 8 a^{2} - 5 b c + 2 a^{2} - 9 b c^{2}

Group like terms

= 8 a^{2} + 2 a^{2} - 5 b c - 9 b c^{2}

Add similar elements:

8 a^{2} + 2 a^{2} = 10 a^{2}

= 10 a^{2} - 5 b c - 9 b c^{2}

10 lo g_{10} (\frac{1 0 ^{- 6}}{1 0 ^{- 12}})

- 2 \cdot 8

- lo g_{10} (0)

lo g_{8} (12)

\frac{1}{t}

What is (3a^2-3bc^2)-(-8a^2+5bc)+(-6bc^2-a^2) ?
The solution to (3a^2-3bc^2)-(-8a^2+5bc)+(-6bc^2-a^2) is 10a^2-5bc-9bc^2