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Simplify (2p^3+5+6p^4)-3(2+7p^3-8p)

$(2 p^{3} + 5 + 6 p^{4}) - 3 (2 + 7 p^{3} - 8 p)$

Step 1

Simplify each term.

Apply the distributive property.

$2 p^{3} + 5 + 6 p^{4} - 3 \cdot 2 - 3 (7 p^{3}) - 3 (- 8 p)$

Simplify.

Multiply

$- 3$ by

$2$ .

$2 p^{3} + 5 + 6 p^{4} - 6 - 3 (7 p^{3}) - 3 (- 8 p)$

Multiply

$7$ by

$- 3$ .

$2 p^{3} + 5 + 6 p^{4} - 6 - 21 p^{3} - 3 (- 8 p)$

Multiply

$- 8$ by

$- 3$ .

$2 p^{3} + 5 + 6 p^{4} - 6 - 21 p^{3} + 24 p$

Step 2

Simplify by adding terms.

Subtract

$21 p^{3}$ from

$2 p^{3}$ .

$- 19 p^{3} + 5 + 6 p^{4} - 6 + 24 p$

Simplify the expression.

Subtract

$6$ from

$5$ .

$- 19 p^{3} + 6 p^{4} - 1 + 24 p$

Move

$- 1$ .

$- 19 p^{3} + 6 p^{4} + 24 p - 1$

Reorder

$- 19 p^{3}$ and

$6 p^{4}$ .

$6 p^{4} - 19 p^{3} + 24 p - 1$