What is expand 6(5x^2+6x+6)^3 ?

The solution to expand 6(5x^2+6x+6)^3 is 750x^6+2700x^5+5940x^4+7776x^3+7128x^2+3888x+1296

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 6(5x^2+6x+6)^3

expand

6 (5 x^{2} + 6 x + 6)^{3}

750 x^{6} + 2700 x^{5} + 5940 x^{4} + 7776 x^{3} + 7128 x^{2} + 3888 x + 1296

Solution steps

6 (5 x^{2} + 6 x + 6)^{3}

(5 x^{2} + 6 x + 6)^{3} = 125 x^{6} + 450 x^{5} + 990 x^{4} + 1296 x^{3} + 1188 x^{2} + 648 x + 216

= 6 (125 x^{6} + 450 x^{5} + 990 x^{4} + 1296 x^{3} + 1188 x^{2} + 648 x + 216)

Distribute parentheses

= 6 \cdot 125 x^{6} + 6 \cdot 450 x^{5} + 6 \cdot 990 x^{4} + 6 \cdot 1296 x^{3} + 6 \cdot 1188 x^{2} + 6 \cdot 648 x + 6 \cdot 216

Simplify

6 \cdot 125 x^{6} + 6 \cdot 450 x^{5} + 6 \cdot 990 x^{4} + 6 \cdot 1296 x^{3} + 6 \cdot 1188 x^{2} + 6 \cdot 648 x + 6 \cdot 216 : 750 x^{6} + 2700 x^{5} + 5940 x^{4} + 7776 x^{3} + 7128 x^{2} + 3888 x + 1296

= 750 x^{6} + 2700 x^{5} + 5940 x^{4} + 7776 x^{3} + 7128 x^{2} + 3888 x + 1296

(2 cos (t) - t sin (t))^{2}

\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} u

(x + 7 - 2) (x + 7 + 2)

(3 + 2) (1 - 3)

(2 e^{t} + 5) (e^{t})

What is expand 6(5x^2+6x+6)^3 ?
The solution to expand 6(5x^2+6x+6)^3 is 750x^6+2700x^5+5940x^4+7776x^3+7128x^2+3888x+1296