Algebra Examples

$(7 - 4 k^{2} + k) + (8 k + 5 k^{2} - 7)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

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

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Step 2.1

Subtract $7$ from $7$ .

$- 4 k^{2} + k + 8 k + 5 k^{2} + 0$

Step 2.2

Add $- 4 k^{2} + k + 8 k + 5 k^{2}$ and $0$ .

$- 4 k^{2} + k + 8 k + 5 k^{2}$

Step 3

Add $- 4 k^{2}$ and $5 k^{2}$ .

$k^{2} + k + 8 k$

Step 4

Add $k$ and $8 k$ .

$k^{2} + 9 k$