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

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

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

simplify

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

a^{2} + 9 a + 20

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

3 a + 6 a = 9 a

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

Subtract the numbers:

25 - 5 = 20

= a^{2} + 9 a + 20

1^{9}

\frac{x}{x ^{2} - 49} + \frac{3 x + 1}{x + 7}

\frac{21}{12}

\frac{21}{56}

\frac{55}{2}

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