What is expand (3a-5b+3c)(4a+2b+c) ?

The solution to expand (3a-5b+3c)(4a+2b+c) is 12a^2-14ab+15ac-10b^2+bc+3c^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3a-5b+3c)(4a+2b+c)

expand

(3 a - 5 b + 3 c) (4 a + 2 b + c)

12 a^{2} - 14 ab + 15 a c - 10 b^{2} + b c + 3 c^{2}

Solution steps

(3 a - 5 b + 3 c) (4 a + 2 b + c)

Distribute parentheses

= 3 a \cdot 4 a + 3 a \cdot 2 b + 3 a c - 5 b \cdot 4 a - 5 b \cdot 2 b - 5 b c + 3 c \cdot 4 a + 3 c \cdot 2 b + 3 cc

Simplify

3 a \cdot 4 a + 3 a \cdot 2 b + 3 a c - 5 b \cdot 4 a - 5 b \cdot 2 b - 5 b c + 3 c \cdot 4 a + 3 c \cdot 2 b + 3 cc : 12 a^{2} - 14 ab + 15 a c - 10 b^{2} + b c + 3 c^{2}

= 12 a^{2} - 14 ab + 15 a c - 10 b^{2} + b c + 3 c^{2}

(- 4)^{2} + (- 4)^{2}

(5 x^{2} + 5 x - 8) + (- 2 x^{2} + 3 x - 2)

\frac{14}{32}

1 + (3 + 27)^{2}

(3 a + 2) (4 a^{2} - 2 a + 9)

What is expand (3a-5b+3c)(4a+2b+c) ?
The solution to expand (3a-5b+3c)(4a+2b+c) is 12a^2-14ab+15ac-10b^2+bc+3c^2