Pre-Algebra Examples

$(8 x^{4} + 2 x^{2} - 1) + (3 x^{3} - 5 x^{2} + 7 x + 1)$

Step 1

Remove parentheses.

$8 x^{4} + 2 x^{2} - 1 + 3 x^{3} - 5 x^{2} + 7 x + 1$

Step 2

Combine the opposite terms in $8 x^{4} + 2 x^{2} - 1 + 3 x^{3} - 5 x^{2} + 7 x + 1$ .

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Step 2.1

Add $- 1$ and $1$ .

$8 x^{4} + 2 x^{2} + 3 x^{3} - 5 x^{2} + 7 x + 0$

Step 2.2

Add $8 x^{4} + 2 x^{2} + 3 x^{3} - 5 x^{2} + 7 x$ and $0$ .

$8 x^{4} + 2 x^{2} + 3 x^{3} - 5 x^{2} + 7 x$

Step 3

Subtract $5 x^{2}$ from $2 x^{2}$ .

$8 x^{4} + 3 x^{3} - 3 x^{2} + 7 x$