What is (3y^2+y^3-5)+(4y^2-4y+2y^3+8) ?

The solution to (3y^2+y^3-5)+(4y^2-4y+2y^3+8) is 3y^3+7y^2-4y+3

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simplify (3y^2+y^3-5)+(4y^2-4y+2y^3+8)

simplify

(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)

3 y^{3} + 7 y^{2} - 4 y + 3

Solution steps

(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)

Simplify

(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8) : 3 y^{2} + y^{3} - 5 + 4 y^{2} - 4 y + 2 y^{3} + 8

= 3 y^{2} + y^{3} - 5 + 4 y^{2} - 4 y + 2 y^{3} + 8

Group like terms

= y^{3} + 2 y^{3} + 3 y^{2} + 4 y^{2} - 4 y - 5 + 8

Add similar elements:

y^{3} + 2 y^{3} = 3 y^{3}

= 3 y^{3} + 3 y^{2} + 4 y^{2} - 4 y - 5 + 8

Add similar elements:

3 y^{2} + 4 y^{2} = 7 y^{2}

= 3 y^{3} + 7 y^{2} - 4 y - 5 + 8

Add the numbers:

- 5 + 8 = 3

= 3 y^{3} + 7 y^{2} - 4 y + 3

\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}}

2 \times (- 4)

\frac{3}{4} \div \frac{2}{5}

\frac{8}{9}

\frac{x ^{2} + 2 x - 3}{x + 3}

What is (3y^2+y^3-5)+(4y^2-4y+2y^3+8) ?
The solution to (3y^2+y^3-5)+(4y^2-4y+2y^3+8) is 3y^3+7y^2-4y+3