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

The solution to expand (2x^4-3x^3+1)(x+3) is 2x^5+3x^4-9x^3+x+3

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expand (2x^4-3x^3+1)(x+3)

expand

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

2 x^{5} + 3 x^{4} - 9 x^{3} + x + 3

Solution steps

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

Distribute parentheses

= 2 x^{4} x + 2 x^{4} \cdot 3 - 3 x^{3} x - 3 x^{3} \cdot 3 + 1 \cdot x + 1 \cdot 3

Simplify

2 x^{4} x + 2 x^{4} \cdot 3 - 3 x^{3} x - 3 x^{3} \cdot 3 + 1 \cdot x + 1 \cdot 3 : 2 x^{5} + 3 x^{4} - 9 x^{3} + x + 3

= 2 x^{5} + 3 x^{4} - 9 x^{3} + x + 3

(6 x + 7) (6 x - 7)

3 x^{3} - 2 x^{2} - 3 x + 2

(3 sin (θ))^{2}

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

x^{2} + 16 + 64

What is expand (2x^4-3x^3+1)(x+3) ?
The solution to expand (2x^4-3x^3+1)(x+3) is 2x^5+3x^4-9x^3+x+3