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

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $5$ by $- 1$ .

$2 b^{2} - 6 + 4 b + 7 - b^{2} - 5 b - - 3$

Multiply $- 1$ by $- 3$ .

$2 b^{2} - 6 + 4 b + 7 - b^{2} - 5 b + 3$

$2 b^{2} - 6 + 4 b + 7 - b^{2} - 5 b + 3$

$2 b^{2} - 6 + 4 b + 7 - b^{2} - 5 b + 3$

Step 3

Simplify by adding terms.

Subtract $b^{2}$ from $2 b^{2}$ .

$b^{2} - 6 + 4 b + 7 - 5 b + 3$

Add $- 6$ and $7$ .

$b^{2} + 4 b + 1 - 5 b + 3$

Subtract $5 b$ from $4 b$ .

$b^{2} - b + 1 + 3$

Add $1$ and $3$ .

$b^{2} - b + 4$

$b^{2} - b + 4$

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