What is (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3) ?

The solution to (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3) is -11b^3+5bc+9c^3-6bc^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3)

simplify

(b^{3} + 5 b c + 10 c^{3}) - (12 b^{3} + 6 b c^{2} + c^{3})

- 11 b^{3} + 5 b c + 9 c^{3} - 6 b c^{2}

Solution steps

(b^{3} + 5 b c + 10 c^{3}) - (12 b^{3} + 6 b c^{2} + c^{3})

Apply rule:

(a) = a

(b^{3} + 5 b c + 10 c^{3}) = b^{3} + 5 b c + 10 c^{3}

= b^{3} + 5 b c + 10 c^{3} - (12 b^{3} + 6 b c^{2} + c^{3})

Apply the distributive law:

- (a + b) = - a - b

- (12 b^{3} + 6 b c^{2} + c^{3}) = - 12 b^{3} - 6 b c^{2} - c^{3}

= b^{3} + 5 b c + 10 c^{3} - 12 b^{3} - 6 b c^{2} - c^{3}

Group like terms

= b^{3} - 12 b^{3} + 5 b c + 10 c^{3} - c^{3} - 6 b c^{2}

Add similar elements:

b^{3} - 12 b^{3} = - 11 b^{3}

= - 11 b^{3} + 5 b c + 10 c^{3} - c^{3} - 6 b c^{2}

Add similar elements:

10 c^{3} - c^{3} = 9 c^{3}

= - 11 b^{3} + 5 b c + 9 c^{3} - 6 b c^{2}

H (2.8) = 50 - (4.9 \cdot 2. 8^{2})

x^{2} - 8 x - 7 = 0

6 x^{2} + 5 = 0

3 x^{2} + 12 x = 9

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

What is (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3) ?
The solution to (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3) is -11b^3+5bc+9c^3-6bc^2