What is (5a^2-9a+7)+(5a-15a^2+11)+(-13-17a^2+4a) ?

The solution to (5a^2-9a+7)+(5a-15a^2+11)+(-13-17a^2+4a) is -27a^2+5

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simplify (5a^2-9a+7)+(5a-15a^2+11)+(-13-17a^2+4a)

simplify

(5 a^{2} - 9 a + 7) + (5 a - 15 a^{2} + 11) + (- 13 - 17 a^{2} + 4 a)

- 27 a^{2} + 5

Solution steps

(5 a^{2} - 9 a + 7) + (5 a - 15 a^{2} + 11) + (- 13 - 17 a^{2} + 4 a)

Simplify

(5 a^{2} - 9 a + 7) + (5 a - 15 a^{2} + 11) + (- 13 - 17 a^{2} + 4 a) : 5 a^{2} - 9 a + 7 + 5 a - 15 a^{2} + 11 - 13 - 17 a^{2} + 4 a

= 5 a^{2} - 9 a + 7 + 5 a - 15 a^{2} + 11 - 13 - 17 a^{2} + 4 a

Group like terms

= 5 a^{2} - 15 a^{2} - 17 a^{2} - 9 a + 5 a + 4 a + 7 + 11 - 13

Add similar elements:

5 a^{2} - 15 a^{2} - 17 a^{2} = - 27 a^{2}

= - 27 a^{2} - 9 a + 5 a + 4 a + 7 + 11 - 13

Add similar elements:

- 9 a + 5 a + 4 a = 0

= - 27 a^{2} + 7 + 11 - 13

Add the numbers:

7 + 11 - 13 = 5

= - 27 a^{2} + 5

(- 3 x^{2} - x - 10) + (10 x^{2} + x - 10)

\frac{8}{- 8}

36 x^{2} - 72 x + 81

\frac{7}{4 x - 1} - \frac{5}{4 x - 1}

\frac{2}{7} + \frac{2}{5}

What is (5a^2-9a+7)+(5a-15a^2+11)+(-13-17a^2+4a) ?
The solution to (5a^2-9a+7)+(5a-15a^2+11)+(-13-17a^2+4a) is -27a^2+5