What is (x^2+3x-70)-(x-7) ?

The solution to (x^2+3x-70)-(x-7) is x^2+2x-63

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simplify (x^2+3x-70)-(x-7)

simplify

(x^{2} + 3 x - 70) - (x - 7)

x^{2} + 2 x - 63

Solution steps

(x^{2} + 3 x - 70) - (x - 7)

Apply rule:

(a) = a

(x^{2} + 3 x - 70) = x^{2} + 3 x - 70

= x^{2} + 3 x - 70 - (x - 7)

Apply the distributive law:

- (a - b) = - a + b

- (x - 7) = - x + 7

= x^{2} + 3 x - 70 - x + 7

Group like terms

= x^{2} + 3 x - x - 70 + 7

Add similar elements:

3 x - x = 2 x

= x^{2} + 2 x - 70 + 7

Add the numbers:

- 70 + 7 = - 63

= x^{2} + 2 x - 63

(2 + 3 i) (5 - i)

6 cos (θ) - 3

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\frac{2}{3} b - 5 a