What is (3x^2-7)-(10x^2-1) ?

The solution to (3x^2-7)-(10x^2-1) is -7x^2-6

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simplify (3x^2-7)-(10x^2-1)

simplify

(3 x^{2} - 7) - (10 x^{2} - 1)

- 7 x^{2} - 6

Solution steps

(3 x^{2} - 7) - (10 x^{2} - 1)

Apply rule:

(a) = a

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

= 3 x^{2} - 7 - (10 x^{2} - 1)

Apply the distributive law:

- (a - b) = - a + b

- (10 x^{2} - 1) = - 10 x^{2} + 1

= 3 x^{2} - 7 - 10 x^{2} + 1

Group like terms

= 3 x^{2} - 10 x^{2} - 7 + 1

Add similar elements:

3 x^{2} - 10 x^{2} = - 7 x^{2}

= - 7 x^{2} - 7 + 1

Add the numbers:

- 7 + 1 = - 6

= - 7 x^{2} - 6

w^{- 2} w^{- 4} w^{6}

25 (3 + 84)

r^{2} + r

x y^{- 6}

- 4 x^{2} - 12 x + 72