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

The solution to (x^3+2x+1)-(x^2-7x+2) is x^3-x^2+9x-1

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

simplify

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

x^{3} - x^{2} + 9 x - 1

Solution steps

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

Apply rule:

(a) = a

(x^{3} + 2 x + 1) = x^{3} + 2 x + 1

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

2 x + 7 x = 9 x

= x^{3} - x^{2} + 9 x + 1 - 2

Subtract the numbers:

1 - 2 = - 1

= x^{3} - x^{2} + 9 x - 1

\frac{100}{125}

\frac{3}{10} + \frac{2}{3} - \frac{1}{2}

(x - 1)^{8}

12 (x - y)^{2} + 7 (x - y) - 12

What is (x^3+2x+1)-(x^2-7x+2) ?
The solution to (x^3+2x+1)-(x^2-7x+2) is x^3-x^2+9x-1