What is (7p+4p^3-8)-(-3p^2+2-9p) ?

The solution to (7p+4p^3-8)-(-3p^2+2-9p) is 4p^3+3p^2+16p-10

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simplify (7p+4p^3-8)-(-3p^2+2-9p)

simplify

(7 p + 4 p^{3} - 8) - (- 3 p^{2} + 2 - 9 p)

4 p^{3} + 3 p^{2} + 16 p - 10

Solution steps

(7 p + 4 p^{3} - 8) - (- 3 p^{2} + 2 - 9 p)

Apply rule:

(a) = a

(7 p + 4 p^{3} - 8) = 7 p + 4 p^{3} - 8

= 7 p + 4 p^{3} - 8 - (- 3 p^{2} + 2 - 9 p)

Apply the distributive law:

- (- a + b) = a - b

- (- 3 p^{2} + 2 - 9 p) = 3 p^{2} - 2 + 9 p

= 7 p + 4 p^{3} - 8 + 3 p^{2} - 2 + 9 p

Group like terms

= 4 p^{3} + 3 p^{2} + 7 p + 9 p - 8 - 2

Add similar elements:

7 p + 9 p = 16 p

= 4 p^{3} + 3 p^{2} + 16 p - 8 - 2

Subtract the numbers:

- 8 - 2 = - 10

= 4 p^{3} + 3 p^{2} + 16 p - 10

(- 3 + 2 i) - (4 - 4 i)

2 \div \frac{4}{3}

i^{2666}

\frac{1}{\frac{1}{a}}

5.301 \cdot 1 0^{7}

What is (7p+4p^3-8)-(-3p^2+2-9p) ?
The solution to (7p+4p^3-8)-(-3p^2+2-9p) is 4p^3+3p^2+16p-10