simplify (2k^3+6k+1)-(2k^2+1) — step-by-step solution

Let's reduce:

2 k^{3}

+ 6 k

+ 1

- (2 k^{2} + 1)

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (2 k^{2} + 1)

- 2 k^{2} - 1

2 k^{3}

+ 6 k

+ 1

- 2 k^{2}

- 1

ⓘ Start from

1

and move back

1

on the number line, down to zero:

1 - 1

0

2 k^{3}

+ 6 k

+ 0

- 2 k^{2}

ⓘ Adding 0 changes nothing:

0 - 2 k^{2}

- 2 k^{2}

2 k^{3} + 6 k - 2 k^{2}

▶Simplified form:

2 k^{3} - 2 k^{2} + 6 k