What is expand 2pi(7x^4-28x^3+28x^2) ?

The solution to expand 2pi(7x^4-28x^3+28x^2) is 14pix^4-56pix^3+56pix^2

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expand 2pi(7x^4-28x^3+28x^2)

expand

2 π (7 x^{4} - 28 x^{3} + 28 x^{2})

14 π x^{4} - 56 π x^{3} + 56 π x^{2}

Solution steps

2 π (7 x^{4} - 28 x^{3} + 28 x^{2})

Distribute parentheses

= 2 π 7 x^{4} + 2 π (- 28 x^{3}) + 2 π 28 x^{2}

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 7 π x^{4} - 2 \cdot 28 π x^{3} + 2 \cdot 28 π x^{2}

Simplify

2 \cdot 7 π x^{4} - 2 \cdot 28 π x^{3} + 2 \cdot 28 π x^{2} : 14 π x^{4} - 56 π x^{3} + 56 π x^{2}

= 14 π x^{4} - 56 π x^{3} + 56 π x^{2}

\frac{v ( v - 1 )}{2} - e

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cos (5 (t - \frac{π}{6})) U (t - \frac{π}{6})

\frac{11}{10} 3 - 73

\frac{x ^{3}}{( x - 4 ) ^{2}}

What is expand 2pi(7x^4-28x^3+28x^2) ?
The solution to expand 2pi(7x^4-28x^3+28x^2) is 14pix^4-56pix^3+56pix^2