What is (9a^2-6a+5)-(10a^2+3a+25) ?

The solution to (9a^2-6a+5)-(10a^2+3a+25) is -a^2-9a-20

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simplify (9a^2-6a+5)-(10a^2+3a+25)

simplify

(9 a^{2} - 6 a + 5) - (10 a^{2} + 3 a + 25)

- a^{2} - 9 a - 20

Solution steps

(9 a^{2} - 6 a + 5) - (10 a^{2} + 3 a + 25)

Apply rule:

(a) = a

(9 a^{2} - 6 a + 5) = 9 a^{2} - 6 a + 5

= 9 a^{2} - 6 a + 5 - (10 a^{2} + 3 a + 25)

Apply the distributive law:

- (a + b) = - a - b

- (10 a^{2} + 3 a + 25) = - 10 a^{2} - 3 a - 25

= 9 a^{2} - 6 a + 5 - 10 a^{2} - 3 a - 25

Group like terms

= 9 a^{2} - 10 a^{2} - 6 a - 3 a + 5 - 25

Add similar elements:

9 a^{2} - 10 a^{2} = - a^{2}

= - a^{2} - 6 a - 3 a + 5 - 25

Add similar elements:

- 6 a - 3 a = - 9 a

= - a^{2} - 9 a + 5 - 25

Subtract the numbers:

5 - 25 = - 20

= - a^{2} - 9 a - 20

(c + \frac{1}{c})^{2}

2^{9}

- 3 (a + 1) + 6

\frac{4}{3} π (r + 1)^{3}

10 - (- 10)

What is (9a^2-6a+5)-(10a^2+3a+25) ?
The solution to (9a^2-6a+5)-(10a^2+3a+25) is -a^2-9a-20