What is expand (3x^2+3x+5)(6x+4) ?

The solution to expand (3x^2+3x+5)(6x+4) is 18x^3+30x^2+42x+20

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expand (3x^2+3x+5)(6x+4)

expand

(3 x^{2} + 3 x + 5) (6 x + 4)

18 x^{3} + 30 x^{2} + 42 x + 20

Solution steps

(3 x^{2} + 3 x + 5) (6 x + 4)

Distribute parentheses

= 3 x^{2} \cdot 6 x + 3 x^{2} \cdot 4 + 3 x \cdot 6 x + 3 x \cdot 4 + 5 \cdot 6 x + 5 \cdot 4

Simplify

3 x^{2} \cdot 6 x + 3 x^{2} \cdot 4 + 3 x \cdot 6 x + 3 x \cdot 4 + 5 \cdot 6 x + 5 \cdot 4 : 18 x^{3} + 30 x^{2} + 42 x + 20

= 18 x^{3} + 30 x^{2} + 42 x + 20

- m - 3 m - 6 m - 5 m

a b^{2} + 3 a^{3} b - 8 a b^{2} + 4 a^{3} b + 2 a^{3} b

4 x^{2} + 2 x y + 4 y^{2}

(5 w)^{3}

- y \cdot y

What is expand (3x^2+3x+5)(6x+4) ?
The solution to expand (3x^2+3x+5)(6x+4) is 18x^3+30x^2+42x+20