What is (f^3-5f+25)-(4f^2-12f+9) ?

The solution to (f^3-5f+25)-(4f^2-12f+9) is f^3-4f^2+7f+16

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simplify (f^3-5f+25)-(4f^2-12f+9)

simplify

(f^{3} - 5 f + 25) - (4 f^{2} - 12 f + 9)

f^{3} - 4 f^{2} + 7 f + 16

Solution steps

(f^{3} - 5 f + 25) - (4 f^{2} - 12 f + 9)

Apply rule:

(a) = a

(f^{3} - 5 f + 25) = f^{3} - 5 f + 25

= f^{3} - 5 f + 25 - (4 f^{2} - 12 f + 9)

Apply the distributive law:

- (a - b) = - a + b

- (4 f^{2} - 12 f + 9) = - 4 f^{2} + 12 f - 9

= f^{3} - 5 f + 25 - 4 f^{2} + 12 f - 9

Group like terms

= f^{3} - 4 f^{2} - 5 f + 12 f + 25 - 9

Add similar elements:

- 5 f + 12 f = 7 f

= f^{3} - 4 f^{2} + 7 f + 25 - 9

Subtract the numbers:

25 - 9 = 16

= f^{3} - 4 f^{2} + 7 f + 16

8 \frac{2}{3}

(x + 4)^{4}

5 x + 15

7.4 z - 5 (- 1.6 z + 2.4)

What is (f^3-5f+25)-(4f^2-12f+9) ?
The solution to (f^3-5f+25)-(4f^2-12f+9) is f^3-4f^2+7f+16