What is expand (d+6)(2d^2-d+7) ?

The solution to expand (d+6)(2d^2-d+7) is 2d^3+11d^2+d+42

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expand (d+6)(2d^2-d+7)

expand

(d + 6) (2 d^{2} - d + 7)

2 d^{3} + 11 d^{2} + d + 42

Solution steps

(d + 6) (2 d^{2} - d + 7)

Distribute parentheses

= d \cdot 2 d^{2} + d (- d) + d \cdot 7 + 6 \cdot 2 d^{2} + 6 (- d) + 6 \cdot 7

Simplify

d \cdot 2 d^{2} + d (- d) + d \cdot 7 + 6 \cdot 2 d^{2} + 6 (- d) + 6 \cdot 7 : 2 d^{3} + 11 d^{2} + d + 42

= 2 d^{3} + 11 d^{2} + d + 42

(3 x^{2} + 18 x + 27) (x - 6)

- 9 (- 2)

- 9 (- 4)

(x + 1) (x + 1) (x - 1) (x - 1)

3 \cdot 1 0^{- 10}

What is expand (d+6)(2d^2-d+7) ?
The solution to expand (d+6)(2d^2-d+7) is 2d^3+11d^2+d+42