What is expand pi(6x+4)^2(8x+7) ?

The solution to expand pi(6x+4)^2(8x+7) is 288pix^3+636pix^2+464pix+112pi

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expand pi(6x+4)^2(8x+7)

expand

π (6 x + 4)^{2} (8 x + 7)

288 π x^{3} + 636 π x^{2} + 464 π x + 112 π

Solution steps

π (6 x + 4)^{2} (8 x + 7)

Apply the distributive law:

a (b + c) = ab + a c

a = π (6 x + 4)^{2}, b = 8 x, c = 7

= π (6 x + 4)^{2} \cdot 8 x + π (6 x + 4)^{2} \cdot 7

= 8 π x (6 x + 4)^{2} + 7 π (6 x + 4)^{2}

Simplify

8 π x (6 x + 4)^{2} + 7 π (6 x + 4)^{2} : 288 π x^{3} + 636 π x^{2} + 464 π x + 112 π

= 288 π x^{3} + 636 π x^{2} + 464 π x + 112 π

9 (2 ln (3) + \frac{22}{27})

(1 - \frac{3}{y} + x) d y + (y - \frac{3}{x} + 1) d x

tan (\frac{( 1 - 2 x ) π}{x - 1})

(1 + c e^{2 x})^{2}

\frac{1}{2} (- 3 ln (2) - 1)

What is expand pi(6x+4)^2(8x+7) ?
The solution to expand pi(6x+4)^2(8x+7) is 288pix^3+636pix^2+464pix+112pi