What is 2p^3(p^2-4p-7)+5p(p^4-p^2) ?

The solution to 2p^3(p^2-4p-7)+5p(p^4-p^2) is 7p^5-8p^4-19p^3

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simplify 2p^3(p^2-4p-7)+5p(p^4-p^2)

simplify

2 p^{3} (p^{2} - 4 p - 7) + 5 p (p^{4} - p^{2})

7 p^{5} - 8 p^{4} - 19 p^{3}

Solution steps

2 p^{3} (p^{2} - 4 p - 7) + 5 p (p^{4} - p^{2})

Expand

2 p^{3} (p^{2} - 4 p - 7) : 2 p^{5} - 8 p^{4} - 14 p^{3}

= 2 p^{5} - 8 p^{4} - 14 p^{3} + 5 p (p^{4} - p^{2})

Expand

5 p (p^{4} - p^{2}) : 5 p^{5} - 5 p^{3}

= 2 p^{5} - 8 p^{4} - 14 p^{3} + 5 p^{5} - 5 p^{3}

Group like terms

= 2 p^{5} + 5 p^{5} - 8 p^{4} - 14 p^{3} - 5 p^{3}

Add similar elements:

2 p^{5} + 5 p^{5} = 7 p^{5}

= 7 p^{5} - 8 p^{4} - 14 p^{3} - 5 p^{3}

Add similar elements:

- 14 p^{3} - 5 p^{3} = - 19 p^{3}

= 7 p^{5} - 8 p^{4} - 19 p^{3}

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

\frac{1}{2} x - 1

\frac{x ^{2} - 11 x + 24}{x ^{2} - 9 x + 18}

27 + 48 - 75

What is 2p^3(p^2-4p-7)+5p(p^4-p^2) ?
The solution to 2p^3(p^2-4p-7)+5p(p^4-p^2) is 7p^5-8p^4-19p^3