What is (12x^3-8x^2)-(3x^3+9x^2+x-7) ?

The solution to (12x^3-8x^2)-(3x^3+9x^2+x-7) is 9x^3-17x^2-x+7

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simplify (12x^3-8x^2)-(3x^3+9x^2+x-7)

simplify

(12 x^{3} - 8 x^{2}) - (3 x^{3} + 9 x^{2} + x - 7)

9 x^{3} - 17 x^{2} - x + 7

Solution steps

(12 x^{3} - 8 x^{2}) - (3 x^{3} + 9 x^{2} + x - 7)

Apply rule:

(a) = a

(12 x^{3} - 8 x^{2}) = 12 x^{3} - 8 x^{2}

= 12 x^{3} - 8 x^{2} - (3 x^{3} + 9 x^{2} + x - 7)

Apply the distributive law:

- (a + b) = - a - b

- (3 x^{3} + 9 x^{2} + x - 7) = - 3 x^{3} - 9 x^{2} - x + 7

= 12 x^{3} - 8 x^{2} - 3 x^{3} - 9 x^{2} - x + 7

Group like terms

= 12 x^{3} - 3 x^{3} - 8 x^{2} - 9 x^{2} - x + 7

Add similar elements:

12 x^{3} - 3 x^{3} = 9 x^{3}

= 9 x^{3} - 8 x^{2} - 9 x^{2} - x + 7

Add similar elements:

- 8 x^{2} - 9 x^{2} = - 17 x^{2}

= 9 x^{3} - 17 x^{2} - x + 7

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8

5 c^{2} + 11 c d + 2 d^{2}

(5 - 2) (- 5)

(x + 2) \cdot (x + 3)

(6 w)^{2}

What is (12x^3-8x^2)-(3x^3+9x^2+x-7) ?
The solution to (12x^3-8x^2)-(3x^3+9x^2+x-7) is 9x^3-17x^2-x+7