What is (7a^2-3a)-(5a^2-5a) ?

The solution to (7a^2-3a)-(5a^2-5a) is 2a^2+2a

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simplify (7a^2-3a)-(5a^2-5a)

simplify

(7 a^{2} - 3 a) - (5 a^{2} - 5 a)

2 a^{2} + 2 a

Solution steps

(7 a^{2} - 3 a) - (5 a^{2} - 5 a)

Apply rule:

(a) = a

(7 a^{2} - 3 a) = 7 a^{2} - 3 a

= 7 a^{2} - 3 a - (5 a^{2} - 5 a)

Apply the distributive law:

- (a - b) = - a + b

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

= 7 a^{2} - 3 a - 5 a^{2} + 5 a

Group like terms

= 7 a^{2} - 5 a^{2} - 3 a + 5 a

Add similar elements:

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

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

Add similar elements:

- 3 a + 5 a = 2 a

= 2 a^{2} + 2 a

2 7^{- 3}

(2 x - 3 z)^{2}

x^{2} - 2 x + c x - 2 c

\frac{x ^{2} + 5 x + 4}{x ^{2} - 6 x - 7}

(8 + i)^{2}