What is (10x^2+3x+9)+(5x^2+x+4) ?

The solution to (10x^2+3x+9)+(5x^2+x+4) is 15x^2+4x+13

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simplify (10x^2+3x+9)+(5x^2+x+4)

simplify

(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)

15 x^{2} + 4 x + 13

Solution steps

(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)

Simplify

(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4) : 10 x^{2} + 3 x + 9 + 5 x^{2} + x + 4

= 10 x^{2} + 3 x + 9 + 5 x^{2} + x + 4

Group like terms

= 10 x^{2} + 5 x^{2} + 3 x + x + 9 + 4

Add similar elements:

10 x^{2} + 5 x^{2} = 15 x^{2}

= 15 x^{2} + 3 x + x + 9 + 4

Add similar elements:

3 x + x = 4 x

= 15 x^{2} + 4 x + 9 + 4

Add the numbers:

9 + 4 = 13

= 15 x^{2} + 4 x + 13

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What is (10x^2+3x+9)+(5x^2+x+4) ?
The solution to (10x^2+3x+9)+(5x^2+x+4) is 15x^2+4x+13