What is (d^2+6d+9)-(d^3+6d+9) ?

The solution to (d^2+6d+9)-(d^3+6d+9) is -d^3+d^2

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simplify (d^2+6d+9)-(d^3+6d+9)

simplify

(d^{2} + 6 d + 9) - (d^{3} + 6 d + 9)

- d^{3} + d^{2}

Solution steps

(d^{2} + 6 d + 9) - (d^{3} + 6 d + 9)

Apply rule:

(a) = a

(d^{2} + 6 d + 9) = d^{2} + 6 d + 9

= d^{2} + 6 d + 9 - (d^{3} + 6 d + 9)

Apply the distributive law:

- (a + b) = - a - b

- (d^{3} + 6 d + 9) = - d^{3} - 6 d - 9

= d^{2} + 6 d + 9 - d^{3} - 6 d - 9

Group like terms

= - d^{3} + d^{2} + 6 d - 6 d + 9 - 9

Add similar elements:

6 d - 6 d = 0

= - d^{3} + d^{2} + 9 - 9

Subtract the numbers:

9 - 9 = 0

= - d^{3} + d^{2}

\frac{48}{8}

15 i \cdot 4 i

\frac{5}{12}

1 x

What is (d^2+6d+9)-(d^3+6d+9) ?
The solution to (d^2+6d+9)-(d^3+6d+9) is -d^3+d^2