Algebra Examples

$(12 x^{5} - 3 x^{4} + 2 x - 5) + (8 x^{4} - 3 x^{3} + 4 x + 1)$

Step 1

Remove parentheses.

$12 x^{5} - 3 x^{4} + 2 x - 5 + 8 x^{4} - 3 x^{3} + 4 x + 1$

Step 2

Add $- 3 x^{4}$ and $8 x^{4}$ .

$12 x^{5} + 5 x^{4} + 2 x - 5 - 3 x^{3} + 4 x + 1$

Step 3

Add $2 x$ and $4 x$ .

$12 x^{5} + 5 x^{4} + 6 x - 5 - 3 x^{3} + 1$

Step 4

Simplify the expression.

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Step 4.1

Add $- 5$ and $1$ .

$12 x^{5} + 5 x^{4} + 6 x - 3 x^{3} - 4$

Step 4.2

Move $6 x$ .

$12 x^{5} + 5 x^{4} - 3 x^{3} + 6 x - 4$