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

The solution to (x^2+3x+5)-(x^4+3x+5) is -x^4+x^2

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simplify (x^2+3x+5)-(x^4+3x+5)

simplify

(x^{2} + 3 x + 5) - (x^{4} + 3 x + 5)

- x^{4} + x^{2}

Solution steps

(x^{2} + 3 x + 5) - (x^{4} + 3 x + 5)

Apply rule:

(a) = a

(x^{2} + 3 x + 5) = x^{2} + 3 x + 5

= x^{2} + 3 x + 5 - (x^{4} + 3 x + 5)

Apply the distributive law:

- (a + b) = - a - b

- (x^{4} + 3 x + 5) = - x^{4} - 3 x - 5

= x^{2} + 3 x + 5 - x^{4} - 3 x - 5

Group like terms

= - x^{4} + x^{2} + 3 x - 3 x + 5 - 5

Add similar elements:

3 x - 3 x = 0

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

Subtract the numbers:

5 - 5 = 0

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

2 \cdot 1 0^{- 6}

\frac{x ^{2} - 3 x - 10}{x ^{2} - 25}

5 x (3 x + 2)

\frac{5}{40}

(\frac{2 x ^{3} y ^{0} z ^{4}}{x ^{4} z ^{- 1}})^{3}

What is (x^2+3x+5)-(x^4+3x+5) ?
The solution to (x^2+3x+5)-(x^4+3x+5) is -x^4+x^2