What is expand-5(4+pi)x^2 ?

The solution to expand-5(4+pi)x^2 is -20x^2-5pix^2

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expand-5(4+pi)x^2

expand

- 5 (4 + π) x^{2}

- 20 x^{2} - 5 π x^{2}

Solution steps

- 5 (4 + π) x^{2}

Apply the distributive law:

a (b + c) = ab + a c

a = - 5 x^{2}, b = 4, c = π

= - 5 x^{2} \cdot 4 + (- 5 x^{2}) π

Apply minus-plus rules

+ (- a) = - a

= - 5 \cdot 4 x^{2} - 5 π x^{2}

Multiply the numbers:

5 \cdot 4 = 20

= - 20 x^{2} - 5 π x^{2}

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