What is 3(4t^3)(t^3+1)^3+(t^4-1)^2(4(3t^2)) ?

The solution to 3(4t^3)(t^3+1)^3+(t^4-1)^2(4(3t^2)) is 12t^{12}+12t^{10}+36t^9+12t^6+12t^3+12t^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(4t^3)(t^3+1)^3+(t^4-1)^2(4(3t^2))

simplify

3 (4 t^{3}) (t^{3} + 1)^{3} + (t^{4} - 1)^{2} (4 (3 t^{2}))

12 t^{12} + 12 t^{10} + 36 t^{9} + 12 t^{6} + 12 t^{3} + 12 t^{2}

Solution steps

3 (4 t^{3}) (t^{3} + 1)^{3} + (t^{4} - 1)^{2} (4 (3 t^{2}))

= 3 \cdot 4 t^{3} (t^{3} + 1)^{3} + 4 \cdot 3 t^{2} (t^{4} - 1)^{2}

Expand

3 (4 t^{3}) (t^{3} + 1)^{3} : 12 t^{12} + 36 t^{9} + 36 t^{6} + 12 t^{3}

= 12 t^{12} + 36 t^{9} + 36 t^{6} + 12 t^{3} + 4 \cdot 3 t^{2} (t^{4} - 1)^{2}

Expand

4 \cdot 3 t^{2} (t^{4} - 1)^{2} : 12 t^{10} - 24 t^{6} + 12 t^{2}

= 12 t^{12} + 36 t^{9} + 36 t^{6} + 12 t^{3} + 12 t^{10} - 24 t^{6} + 12 t^{2}

Group like terms

= 12 t^{12} + 12 t^{10} + 36 t^{9} + 36 t^{6} - 24 t^{6} + 12 t^{3} + 12 t^{2}

Add similar elements:

36 t^{6} - 24 t^{6} = 12 t^{6}

= 12 t^{12} + 12 t^{10} + 36 t^{9} + 12 t^{6} + 12 t^{3} + 12 t^{2}

(\frac{x}{2} - \frac{y}{3})^{2}

(1 - x)^{- n}

216 x^{6} - 27 y^{6}

3^{x + y} + 3^{x - y}

a^{4} + 64

What is 3(4t^3)(t^3+1)^3+(t^4-1)^2(4(3t^2)) ?
The solution to 3(4t^3)(t^3+1)^3+(t^4-1)^2(4(3t^2)) is 12t^{12}+12t^{10}+36t^9+12t^6+12t^3+12t^2