What is expand (8x^2+10x^3-33)(2+4x) ?

The solution to expand (8x^2+10x^3-33)(2+4x) is 16x^2+52x^3+40x^4-66-132x

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expand (8x^2+10x^3-33)(2+4x)

expand

(8 x^{2} + 10 x^{3} - 33) (2 + 4 x)

16 x^{2} + 52 x^{3} + 40 x^{4} - 66 - 132 x

Solution steps

(8 x^{2} + 10 x^{3} - 33) (2 + 4 x)

Distribute parentheses

= 8 x^{2} \cdot 2 + 8 x^{2} \cdot 4 x + 10 x^{3} \cdot 2 + 10 x^{3} \cdot 4 x - 33 \cdot 2 - 33 \cdot 4 x

Simplify

8 x^{2} \cdot 2 + 8 x^{2} \cdot 4 x + 10 x^{3} \cdot 2 + 10 x^{3} \cdot 4 x - 33 \cdot 2 - 33 \cdot 4 x : 16 x^{2} + 52 x^{3} + 40 x^{4} - 66 - 132 x

= 16 x^{2} + 52 x^{3} + 40 x^{4} - 66 - 132 x

- 20 - 5

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What is expand (8x^2+10x^3-33)(2+4x) ?
The solution to expand (8x^2+10x^3-33)(2+4x) is 16x^2+52x^3+40x^4-66-132x