What is expand (pi(15x+42)^2)/4 ?

The solution to expand (pi(15x+42)^2)/4 is (225pix^2)/4+315pix+441pi

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expand (pi(15x+42)^2)/4

expand

\frac{π ( 15 x + 42 ) ^{2}}{4}

\frac{225 π x ^{2}}{4} + 315 π x + 441 π

Solution steps

\frac{π ( 15 x + 42 ) ^{2}}{4}

(15 x + 42)^{2} = 225 x^{2} + 1260 x + 1764

= \frac{π ( 225 x ^{2} + 1260 x + 1764 )}{4}

Expand

π (225 x^{2} + 1260 x + 1764) : 225 π x^{2} + 1260 π x + 1764 π

= \frac{225 π x ^{2} + 1260 π x + 1764 π}{4}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{225 π x ^{2} + 1260 π x + 1764 π}{4} = \frac{225 π x ^{2}}{4} + \frac{1260 π x}{4} + \frac{1764 π}{4}

= \frac{225 π x ^{2}}{4} + \frac{1260 π x}{4} + \frac{1764 π}{4}

Divide the numbers:

\frac{1260}{4} = 315

= \frac{225 π x ^{2}}{4} + 315 π x + \frac{1764 π}{4}

Divide the numbers:

\frac{1764}{4} = 441

= \frac{225 π x ^{2}}{4} + 315 π x + 441 π

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

z^{2} - (i + 2 e^{i θ}) \cdot z + e^{2 \cdot i \cdot θ} + i \cdot e^{i \cdot θ}

(x^{2} + 4 x + 3)^{8}

\frac{( - 1 ) ^{n} ( - π ^{2} n ^{2} + 6 )}{n ^{3}}

\frac{x}{( x y + 1 ) ( x ^{2} + 1 )}

What is expand (pi(15x+42)^2)/4 ?
The solution to expand (pi(15x+42)^2)/4 is (225pix^2)/4+315pix+441pi