What is (3x^4-2x^3+1)+(12x^4+x^2-11) ?

The solution to (3x^4-2x^3+1)+(12x^4+x^2-11) is 15x^4-2x^3+x^2-10

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simplify (3x^4-2x^3+1)+(12x^4+x^2-11)

simplify

(3 x^{4} - 2 x^{3} + 1) + (12 x^{4} + x^{2} - 11)

15 x^{4} - 2 x^{3} + x^{2} - 10

Solution steps

(3 x^{4} - 2 x^{3} + 1) + (12 x^{4} + x^{2} - 11)

Simplify

(3 x^{4} - 2 x^{3} + 1) + (12 x^{4} + x^{2} - 11) : 3 x^{4} - 2 x^{3} + 1 + 12 x^{4} + x^{2} - 11

= 3 x^{4} - 2 x^{3} + 1 + 12 x^{4} + x^{2} - 11

Group like terms

= 3 x^{4} + 12 x^{4} - 2 x^{3} + x^{2} + 1 - 11

Add similar elements:

3 x^{4} + 12 x^{4} = 15 x^{4}

= 15 x^{4} - 2 x^{3} + x^{2} + 1 - 11

Subtract the numbers:

1 - 11 = - 10

= 15 x^{4} - 2 x^{3} + x^{2} - 10

9^{6} \cdot 9^{- 4} \cdot 9^{3}

(4 x^{5} + 11)^{2}

(- 11 r^{5} + 14 + 9 r^{3}) + (3 - 8 r^{5} + 14 r^{3})

What is (3x^4-2x^3+1)+(12x^4+x^2-11) ?
The solution to (3x^4-2x^3+1)+(12x^4+x^2-11) is 15x^4-2x^3+x^2-10