What is expand 16pisqrt(14)(-z^2+81) ?

The solution to expand 16pisqrt(14)(-z^2+81) is -16sqrt(14)piz^2+1296sqrt(14)pi

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expand 16pisqrt(14)(-z^2+81)

expand

16 π 14 (- z^{2} + 81)

- 1614 π z^{2} + 129614 π

Solution steps

16 π 14 (- z^{2} + 81)

= 1614 π (- z^{2} + 81)

Apply the distributive law:

a (b + c) = ab + a c

a = 16 π 14, b = - z^{2}, c = 81

= 16 π 14 (- z^{2}) + 16 π 14 \cdot 81

Apply minus-plus rules

+ (- a) = - a

= - 1614 π z^{2} + 16 \cdot 8114 π

Multiply the numbers:

16 \cdot 81 = 1296

= - 1614 π z^{2} + 129614 π

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What is expand 16pisqrt(14)(-z^2+81) ?
The solution to expand 16pisqrt(14)(-z^2+81) is -16sqrt(14)piz^2+1296sqrt(14)pi