What is (a^2-6a+7)-(5a^2-5a-2) ?

The solution to (a^2-6a+7)-(5a^2-5a-2) is -4a^2-a+9

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simplify (a^2-6a+7)-(5a^2-5a-2)

simplify

(a^{2} - 6 a + 7) - (5 a^{2} - 5 a - 2)

- 4 a^{2} - a + 9

Solution steps

(a^{2} - 6 a + 7) - (5 a^{2} - 5 a - 2)

Apply rule:

(a) = a

(a^{2} - 6 a + 7) = a^{2} - 6 a + 7

= a^{2} - 6 a + 7 - (5 a^{2} - 5 a - 2)

Apply the distributive law:

- (a - b) = - a + b

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

= a^{2} - 6 a + 7 - 5 a^{2} + 5 a + 2

Group like terms

= a^{2} - 5 a^{2} - 6 a + 5 a + 7 + 2

Add similar elements:

a^{2} - 5 a^{2} = - 4 a^{2}

= - 4 a^{2} - 6 a + 5 a + 7 + 2

Add similar elements:

- 6 a + 5 a = - a

= - 4 a^{2} - a + 7 + 2

Add the numbers:

7 + 2 = 9

= - 4 a^{2} - a + 9

(2 - k)^{2}

10 x + 25 y

- \frac{1}{3} + (- \frac{3}{11})

x^{2} + 30 x

What is (a^2-6a+7)-(5a^2-5a-2) ?
The solution to (a^2-6a+7)-(5a^2-5a-2) is -4a^2-a+9