What is expand 7(x+2)*(x-7)^3 ?

The solution to expand 7(x+2)*(x-7)^3 is 7x^4-133x^3+735x^2-343x-4802

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expand 7(x+2)*(x-7)^3

expand

7 (x + 2) \cdot (x - 7)^{3}

7 x^{4} - 133 x^{3} + 735 x^{2} - 343 x - 4802

Solution steps

7 (x + 2) (x - 7)^{3}

= 7 (x - 7)^{3} (x + 2)

Expand

(x - 7)^{3} : x^{3} - 21 x^{2} + 147 x - 343

= 7 (x^{3} - 21 x^{2} + 147 x - 343) (x + 2)

Expand

7 (x + 2) : 7 x + 14

= (7 x + 14) (x^{3} - 21 x^{2} + 147 x - 343)

Distribute parentheses

= 7 x x^{3} + 7 x (- 21 x^{2}) + 7 x \cdot 147 x + 7 x (- 343) + 14 x^{3} + 14 (- 21 x^{2}) + 14 \cdot 147 x + 14 (- 343)

Simplify

7 x x^{3} + 7 x (- 21 x^{2}) + 7 x \cdot 147 x + 7 x (- 343) + 14 x^{3} + 14 (- 21 x^{2}) + 14 \cdot 147 x + 14 (- 343) : 7 x^{4} - 133 x^{3} + 735 x^{2} - 343 x - 4802

= 7 x^{4} - 133 x^{3} + 735 x^{2} - 343 x - 4802

8 x^{6} y^{5} - 3 x^{8} y^{3}

a^{3} - 3 a^{2} - 10 a

(a + b + c)^{2} + (a - b - c)^{2} + (- a - b - c)^{2}

7 - x^{2} - y^{2} - 2 (x + y)

\frac{1}{2} (x + 3) + \frac{1}{3} (3 x + 6)

What is expand 7(x+2)*(x-7)^3 ?
The solution to expand 7(x+2)*(x-7)^3 is 7x^4-133x^3+735x^2-343x-4802