Simplify (4+5x+6x^2)+(7+8x+9x^2)

$(4 + 5 x + 6 x^{2}) + (7 + 8 x + 9 x^{2})$

Step 1

Simplify the expression.

Remove parentheses.

$4 + 5 x + 6 x^{2} + 7 + 8 x + 9 x^{2}$

Add $4$ and $7$ .

$5 x + 6 x^{2} + 11 + 8 x + 9 x^{2}$

$5 x + 6 x^{2} + 11 + 8 x + 9 x^{2}$

Step 2

Add $5 x$ and $8 x$ .

$13 x + 6 x^{2} + 11 + 9 x^{2}$

Step 3

Add $6 x^{2}$ and $9 x^{2}$ .

$13 x + 15 x^{2} + 11$

Step 4

Reorder $13 x$ and $15 x^{2}$ .

$15 x^{2} + 13 x + 11$

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