What is expand (2d^2+5d-8)(7d^3-d^2+9d+2) ?

The solution to expand (2d^2+5d-8)(7d^3-d^2+9d+2) is 14d^5+33d^4-43d^3+57d^2-62d-16

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expand (2d^2+5d-8)(7d^3-d^2+9d+2)

expand

(2 d^{2} + 5 d - 8) (7 d^{3} - d^{2} + 9 d + 2)

14 d^{5} + 33 d^{4} - 43 d^{3} + 57 d^{2} - 62 d - 16

Solution steps

(2 d^{2} + 5 d - 8) (7 d^{3} - d^{2} + 9 d + 2)

Distribute parentheses

= 2 d^{2} \cdot 7 d^{3} + 2 d^{2} (- d^{2}) + 2 d^{2} \cdot 9 d + 2 d^{2} \cdot 2 + 5 d \cdot 7 d^{3} + 5 d (- d^{2}) + 5 d \cdot 9 d + 5 d \cdot 2 - 8 \cdot 7 d^{3} - 8 (- d^{2}) - 8 \cdot 9 d - 8 \cdot 2

Simplify

2 d^{2} \cdot 7 d^{3} + 2 d^{2} (- d^{2}) + 2 d^{2} \cdot 9 d + 2 d^{2} \cdot 2 + 5 d \cdot 7 d^{3} + 5 d (- d^{2}) + 5 d \cdot 9 d + 5 d \cdot 2 - 8 \cdot 7 d^{3} - 8 (- d^{2}) - 8 \cdot 9 d - 8 \cdot 2 : 14 d^{5} + 33 d^{4} - 43 d^{3} + 57 d^{2} - 62 d - 16

= 14 d^{5} + 33 d^{4} - 43 d^{3} + 57 d^{2} - 62 d - 16

\frac{x}{y} - \frac{x}{z}

2 x 3 x^{2} 6 x^{3}

(9 a + 15) - (9 a - 12)

4 x y - 8 x y^{2} - 12 x y^{3}

\frac{( 8 x ^{3} + 13 x ^{2} + 36 x + 84 )}{( x + 2 )}

What is expand (2d^2+5d-8)(7d^3-d^2+9d+2) ?
The solution to expand (2d^2+5d-8)(7d^3-d^2+9d+2) is 14d^5+33d^4-43d^3+57d^2-62d-16