What is (8x^2-3x)-(5x-5-8x^2) ?

The solution to (8x^2-3x)-(5x-5-8x^2) is 16x^2-8x+5

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simplify (8x^2-3x)-(5x-5-8x^2)

simplify

(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})

16 x^{2} - 8 x + 5

Solution steps

(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})

Apply rule:

(a) = a

(8 x^{2} - 3 x) = 8 x^{2} - 3 x

= 8 x^{2} - 3 x - (5 x - 5 - 8 x^{2})

Apply the distributive law:

- (a - b) = - a + b

- (5 x - 5 - 8 x^{2}) = - 5 x + 5 + 8 x^{2}

= 8 x^{2} - 3 x - 5 x + 5 + 8 x^{2}

Add similar elements:

- 3 x - 5 x = - 8 x

= 8 x^{2} - 8 x + 5 + 8 x^{2}

Group like terms

= 8 x^{2} + 8 x^{2} - 8 x + 5

Add similar elements:

8 x^{2} + 8 x^{2} = 16 x^{2}

= 16 x^{2} - 8 x + 5

\frac{20}{22}

\frac{2}{5} \cdot \frac{4}{5}

(- 11 + 3 i) + (9 + 2 i)

11 mn - 44 n^{2} - 99 nk

(- 10) + (- 7)

What is (8x^2-3x)-(5x-5-8x^2) ?
The solution to (8x^2-3x)-(5x-5-8x^2) is 16x^2-8x+5