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

The solution to (x^4+5x+9x^2)-(x^4+4x^2-4) is 5x^2+5x+4

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simplify (x^4+5x+9x^2)-(x^4+4x^2-4)

simplify

(x^{4} + 5 x + 9 x^{2}) - (x^{4} + 4 x^{2} - 4)

5 x^{2} + 5 x + 4

Solution steps

(x^{4} + 5 x + 9 x^{2}) - (x^{4} + 4 x^{2} - 4)

Apply rule:

(a) = a

(x^{4} + 5 x + 9 x^{2}) = x^{4} + 5 x + 9 x^{2}

= x^{4} + 5 x + 9 x^{2} - (x^{4} + 4 x^{2} - 4)

Apply the distributive law:

- (a + b) = - a - b

- (x^{4} + 4 x^{2} - 4) = - x^{4} - 4 x^{2} + 4

= x^{4} + 5 x + 9 x^{2} - x^{4} - 4 x^{2} + 4

Group like terms

= x^{4} - x^{4} + 9 x^{2} - 4 x^{2} + 5 x + 4

Add similar elements:

x^{4} - x^{4} = 0

= 9 x^{2} - 4 x^{2} + 5 x + 4

Add similar elements:

9 x^{2} - 4 x^{2} = 5 x^{2}

= 5 x^{2} + 5 x + 4

(2 x - 7) (2 x^{2} + 4 x + 3)

(6 + 4 i)^{2}

9 \times 18

9 \times (- 5)

\frac{1}{6} - \frac{1}{15}

What is (x^4+5x+9x^2)-(x^4+4x^2-4) ?
The solution to (x^4+5x+9x^2)-(x^4+4x^2-4) is 5x^2+5x+4